Question

Find the measure of angle C of a triangle ABC, if: m∠A = α, m∠B = 2α Find m∠C

Answer 1

Answer:

180°- 3α

Step-by-step explanation:

By angle sum postulate of a triangle.

$m \angle \: A+ m \angle \: B + m \angle \: C = 180 \degree \\ \alpha + 2 \alpha + m \angle \: C = 180 \degree \\ 3 \alpha + m \angle \: C = 180 \degree \\ \huge \red{ \boxed{\angle \: C = 180 \degree - 3 \alpha}}$