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What is the measure of the smaller acute angle in a right triangle if one of the angle is 4 times the other?
Since the angles of a triangle add up to 180°, if one of the angles is a right angle (definition of a right triangle) then the sum of the other two will be 90°. If we designate the measure of the smaller acute angle as "x" then the other angle will be "4x" and: x + 4x = 90° so 5x= 90° and x = 18°
In the right triangle the ratio of the measures of the two acute angles is 4 1 what is the measure in degrees of the larger acute angle?
The 4 to 1 ratio of the two acute angles can be restated as the larger acute angle is four times as large as the smaller acute angle. Since the sum of all angles in a triangle equal 180 degrees, the sum of the two acute angles will be equal to 90 degrees. The remaining 90 degrees are found in the right angle present in all right triangles. If we divide the 90 degrees of the acute angles by 5 (to get the five parts of our ratio) and ascribe 4 of those parts to the largest acute angle we can find the size of that angle by multiplying (90 / 5) x 4 = (18) x 4 = 72. Therefore the largest acute angle is 72 degrees and the smaller acute angle is 18 degrees for a total of 90 degrees. Answer: 72 degrees
What triangle has a right angle and 2 acute angles?
an isocelesANS2:Any triangle that has one right angle will have 2 acute angles. An acute angle is less than 90 degrees and the sum of all angles in a triangle is 180 degrees. The sum of the other two angles would have to add to 90 degrees so they would both have to be less than 90 degrees.
An angle that is the supplement of an acute angle must be what?
If one angle is the supplement of another, we know that their sum is 180 degrees.So let one angle be A and the supplement be B. We know the measure of A+B=180.If A is acute that means its measure is less than 90 degrees. The supplement must therefore have measure more than 90 degrees. We could say the supplement of an acute angle must be an obtuse angle. Remember obtuse angle is one that less than 180 degrees and more than 90.
What shape has a right angle obtuse angle and acute angle?
A shape that has a right angle, an obtuse angle, and an acute angle is a scalene triangle. In a scalene triangle, all three angles are different, with one being a right angle (90 degrees), one being an obtuse angle (greater than 90 degrees), and one being an acute angle (less than 90 degrees). The sum of the angles in any triangle is always 180 degrees, so in a scalene triangle, the right, obtuse, and acute angles would add up to 180 degrees.
