Question

The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.

Answer 1

In the given problem, the sum of two angles of a triangle is equal to its third angle.

We need to find the measure of the third angle.

Thus, it is given, in ΔABC

A+B+C ........(1)

Now, according to the angle sum property of the triangle, we get,

 ∠A +∠B + ∠C = 180°

 ∠C + ∠C = 180° (Using 1)

2∠C = 180°

`∠C = (180°)/2`

∠C = 90°

Therefore, the measure of the third angle is

∠C = 90°.