Question

In the diagram below, AE ≈ BE, mZB = 55° and mZD = 34°. Find

m/C.
D
34°
E
B
.0
55

Answer 1

m∠C=76

Explanation:

AE≅BE

Base angle Theorum. So, ∠A≅∠B.

m∠B=55

m∠B=m∠A

m∠A=55

All triangles add up to 180 degrees.

m∠A+m∠B+m∠BEA=180

55+55+m∠BEA=180

m∠BEA=70

m∠BEA=m∠DEC (Vertical Angles)

m∠DEC=70

m∠DEC+m∠D+m∠C=180

70+34+m∠C=180

m∠C=76