In triangle ABC, ∠A is congruent to ∠B. If the measure of ∠A = 66.2°, what is the measure of ∠C in degrees?

Answer 1

Since ∠A is congruent to ∠B, we have:

∠A = ∠B

Therefore, the measure of ∠B is also 66.2°.

Since the sum of the angles in a triangle is always 180°, we can find the measure of ∠C by adding the measures of ∠A and ∠B, and subtracting the sum from 180°:

∠C = 180° - (∠A + ∠B)
∠C = 180° - (66.2° + 66.2°)
∠C = 180° - 132.4°
∠C = 47.6°

Therefore, the measure of ∠C is 47.6°.