In triangle ABC, ∠A is congruent to ∠B. If the measure of ∠A = 33.9°, what is the measure of ∠C in degrees?

1 answer

Since ∠A is congruent to ∠B, we know that ∠B also has a measure of 33.9°.

The sum of the angles in a triangle is always 180°. So, to find the measure of ∠C, we can use the equation:

∠A + ∠B + ∠C = 180°
33.9° + 33.9° + ∠C = 180°
67.8° + ∠C = 180°
∠C = 180° - 67.8°
∠C = 112.2°

Therefore, the measure of ∠C in triangle ABC is 112.2°.