Question

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α

Answer 1

m∠C = 60°

Explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find m∠C

m∠A + m∠B + m∠C = 180

60°+α + 60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C = 180° - 120° = 60°

Thus, measure of angle c is 60°.