Question

If triangle ABC and DEF are congruent, what is the measure of angle E?

Answer 1

∠ E = 83°

Explanation:

Since the triangles are congruent then corresponding angles are congruent.

Thus ∠ C = ∠ F = 47° and

∠ B = 180° - (50 + 47)° ← angle sum of Δ

∠ B = 180° - 97° = 83°

∠ B and ∠ E are corresponding angles, thus

∠ E = ∠ B = 83°

Answer 2

Answer: 83

Step-by-step explanation: Because the triangles are congruent, angle A is congruent to angle D, angle C is congruent to angle F, and angle E is congruent to angle B (CPCTC). Now because angle A and D are congruent they are both equal to 50. Using sum of angles in a triangle, you can find that measure of angle E is equal to 180- (47+50). That is 180-97=83.