A triangle has two angles equal to 37 degrees and 53 respectively, show that the triangle is right-angled

Answer 1

To show that the triangle is right-angled, we need to prove that one of the angles measures 90 degrees.

Let's assume angle A measures 37 degrees and angle B measures 53 degrees.

Since a triangle's total angle sum is 180 degrees, we can find the measure of the third angle, angle C, by subtracting the sum of angles A and B from 180 degrees.

Angle C = 180 degrees - (angle A + angle B)
Angle C = 180 degrees - (37 degrees + 53 degrees)
Angle C = 180 degrees - 90 degrees
Angle C = 90 degrees

The measure of angle C is 90 degrees, which means the triangle is right-angled.