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Why must a triangle with an obtuse angle have two acute angles?
First drop of knowledge: the angles of a triangle must combine to equal 180 degrees. An obtuse angle is more than 90 degrees, a right angle is 90 degrees, and an acute angle is less than 90 degrees. Because an obtuse angle is present, it is already over 90 degrees. Let's say it is the least possible whole number for an obtuse angle, which is 91 degrees. Two more obtuse angles would put it above 180 degrees, which is too much to be at triangle. Two right angles would still put it above 180 degrees, still too much. The only combination left is two acute angles (in this case, 45 and 44 degrees). Thus, even the lowest of whole numbers for an obtuse angle requires two acute angles, so any other higher number will require the same.
What angle is supplementary to a right angle?
Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.Definition of a right angle: an angle whose measure is 90 degrees.Using these terms, let's put them into an equation.Right angle + Supplementary angle = 180.90 + Supplementary angle = 180.Subtract 90 from both sides.Supplementary angle = 180 - 90Supplementary angle = 90 degrees.Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.
Why do know that a right triangle has no obtuse interior angles?
All triangles have interior angles that add to 180 degrees. Let's call the 3 angles A,B, and C and angles A the 90 degree one. If 90+B+C=180. If angle B was the angle greater than 90 degrees (obtuse) then C would be 0 or negative degrees. Therefore, a right triangle can't have an obtuse interior angle. Sum of all angles in a triangle is 180o. In a right triangle one angle is 90o and other two angles sum up to 90o. A right triangle can't have an obtuse angle because obtuse angle is greater than 90o. So, sum of the two angles(right angle and obtuse angle) will be greater than 180o which is not possible.
What size angles does a right angle triangle have?
Let x be any number such that 0 < x ≤ 45 The a right angled triangle has angles of 90, x and 90-x degrees.
Name and let us see all the 2d shapes for kids?
Oval 0 Angle ^ Half circle C Right angle L Star * Straight Line / Curved Line S Acute Angle V Point . Two intersecting lines X
Why must a triangle with an obtuse angle have two acute angles?
First drop of knowledge: the angles of a triangle must combine to equal 180 degrees. An obtuse angle is more than 90 degrees, a right angle is 90 degrees, and an acute angle is less than 90 degrees. Because an obtuse angle is present, it is already over 90 degrees. Let's say it is the least possible whole number for an obtuse angle, which is 91 degrees. Two more obtuse angles would put it above 180 degrees, which is too much to be at triangle. Two right angles would still put it above 180 degrees, still too much. The only combination left is two acute angles (in this case, 45 and 44 degrees). Thus, even the lowest of whole numbers for an obtuse angle requires two acute angles, so any other higher number will require the same.
What angle is supplementary to a right angle?
Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.Definition of a right angle: an angle whose measure is 90 degrees.Using these terms, let's put them into an equation.Right angle + Supplementary angle = 180.90 + Supplementary angle = 180.Subtract 90 from both sides.Supplementary angle = 180 - 90Supplementary angle = 90 degrees.Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.
What kind of angle is the letter W?
Well, honey, the letter W is an acute angle because it's less than 90 degrees. But let's be real, it's not like the letter W is out here measuring angles and attending geometry class. It's just minding its own business in the alphabet soup.
What type of triangle can an isosceles triangle be scalene right acute obtuse?
What are the properties of the various triangles given:Isosceles triangles have two sides equal, two angles equalScalene triangles have all three sides different and all three angles differentRight triangles have one angle which is a right angle (90°)acute triangles have all angles less than 90°obtuse triangles have one angle greater than 90°As an isosceles triangle has two sides equal, it cannot be a scale triangle which has all three angles different.For the other three properties, consider:The sum of the angles in a triangle is 180°If one angle is 90°, the other two angles could be: (180° - 90°) / 2 = 45° each - two angles the same→ an isosceles triangle could be a right triangleIf all angles are less than 90°, let one angle be 80°, the other two angles could be: (180° - 80°) / 2 = 50° each - two angles the same→ an isosceles triangle could be an acute triangle(Note that if one angle was 60°, then the other two being equal would be: (180° - 60°) / 2 = 60° each making all three angles the same and the triangle an equilateral triangle)If one angle is greater than 90°, let it be 100°, the other two angles could be: (180° - 100°) / 2 = 40° each - two angles the same→ an isosceles triangle could be an obtuse triangleFrom the given list, an isosceles triangle could be a right, acute or obtuse triangle, but it could not be a scalene triangle.
Why do know that a right triangle has no obtuse interior angles?
All triangles have interior angles that add to 180 degrees. Let's call the 3 angles A,B, and C and angles A the 90 degree one. If 90+B+C=180. If angle B was the angle greater than 90 degrees (obtuse) then C would be 0 or negative degrees. Therefore, a right triangle can't have an obtuse interior angle. Sum of all angles in a triangle is 180o. In a right triangle one angle is 90o and other two angles sum up to 90o. A right triangle can't have an obtuse angle because obtuse angle is greater than 90o. So, sum of the two angles(right angle and obtuse angle) will be greater than 180o which is not possible.
What size angles does a right angle triangle have?
Let x be any number such that 0 < x ≤ 45 The a right angled triangle has angles of 90, x and 90-x degrees.
True or false Two right triangles that are not similar still may have one congruent acute angle in common?
False. Assume that you had a two right triangles with one congruent acute (<90 degrees) angle in common. Let x represent the number of degrees in this angle in both triangles (which we can do since the angles are congruent). Let y represent the degree of the other angle in the first triangle and let z represent the degree of the other angle in the second triangle. We know that the sum of the degrees of the angles in a triangle is 180. So for the first triangle we have, 90+x+y = 180 For the second triangle, 90+x+z=180 Therefore, 90+x+y=90+x+z Subtract the 90+x from each side: y=z Therefore the degrees of the angles of the two triangles both are 90 [because they are both right triangles], x [because we said that this is the number of degrees of the congruent angles given in the problem], and y [because y=z]. Because the three angles of both triangles have the same measurement, the triangles must be similar.
Give an example of acute angle right angle obtuse angle straight angle reflex angle reflex angle zero angle?
acute=less than 90º right angle=exactly 90º obtuse angle=more than 90º but less than 180º straight angle=180º re''flex angle= An angle greater than 180° and less than 360° An example well let 's see : a lamp , a cup , a small rubber ball , an electronic vacuum , cream top , glasses and any thing circular demonstrates an example of a right angle , obtuse , straight , full rotation circle , reflex ,acute & zero angle & a zero , O , & orange ....hope that helps !!:)
How many degrees does an acute angle have?
less than 90 degrees but more than 0 degrees that means 0<x<90 (let x = acute angle)
Name and let us see all the 2d shapes for kids?
Oval 0 Angle ^ Half circle C Right angle L Star * Straight Line / Curved Line S Acute Angle V Point . Two intersecting lines X
What are the seven classification of angles according to measure?
Let a be the angle. 1. Zero: a = 0 (angle is equal to zero degrees) 2. Acute: 0 < a < 90 (the angle is between 0 and 90 degrees) 3. Right: a = 90 (the angle is 90 degrees) 4. Obtuse: 90< a < 180 (The angle is between 90 and 180 degrees) 5. Straight: a = 180 (the angle is a straight line it is equal to 180 degrees) 6. Reflex: 180 < a < 360 ( the angle is between 180 and 360 degrees) 7. Full (revolution): a = 360 (The angle is equal to 360 degrees a full circle.)
Can you find the length of the hypotenuse with one angle one side of known length in a right angled triangle?
Yes you can. With the formula "a2 + b2 = c2" Take this picture: http:/spunproject07.pbwiki.comflyf.jpg Answer: a2 + b2 = c2 72 + 52 = c2 49 + 25 = c2 123 = c2 We want to get rid of the 2 Find the square root of "123" You will get "11.090536506409418." Round it to 1 decimal or more if required. c = 11.1 [ CedricD ] All of the above is true, but it doesn't answer the question. In a right triangle if you know one angle in addition to the right angle, then you know or can compute the other acute angle. If we let a, b, and c be the lengths of the three sides with c being the hypotenuse and angles A and B being the angles opposite a and b, respectively then if A is the known angle the sine of A = a/c and c=a/sinA. If B is the known angle then c=b/sinB
