Question

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

Answer 1

180°-3a

Explanation:

YOU HAVE TO INSERT DEGREES SYMBOL

Answer 2

The measure of angle C is 180 - 3α

Explanation:

Given;

triangle ABC, ΔABC

angle A, ∠A = α

angle B, ∠B = 2α

To calculate angle C, we must recall that, the sum of angles in a triangle is equal to 180°. Angle A, angle B, and angle C make up the total angle in the triangle.

∠A + ∠B + ∠C = 180

where

∠C is angle C

α + 2α + ∠C = 180

3α + ∠C = 180

∠C = 180 - 3α

∠C = 3(60 - α)

Therefore, the measure of angle C is 180 - 3α