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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
