Question

Someone please help me!!

Answer 1

91°

Explanation:

To find m/C in the given diagram, we need to analyze the information provided.

From the diagram, we know that AE and BE are equal in length. This means that triangle ABE is an isosceles triangle, where angles A and B are congruent.

We are given that m/B = 55°, so angle B measures 55°.

Since triangle ABE is isosceles, angle A also measures 55°.

Now, we are also given that m/D = 34°. Since line ED is a straight line, angle CED measures 180°.

To find m/C, we can subtract angles B and D from 180°, since angle CED is the sum of angles B, C, and D.

180° - 55° - 34° = 91°

Therefore, m/C is equal to 91°.

Answer 2

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