Answer:
The measure of angle C is 180 - 3α
Step-by-step 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
