Question

Find m∠AEB
A 10
B 70
C 110
D 170

Answer 1

A. 10

Explanation:

The two angles are vertical angles, thus they are equal. You solve once you set the two angles equal in an equation. See work for more.

Answer 2

The correct answer is option B. 70

Explanation:

From the figure we can see that a pair of vertically opposite angles.

Vertical opposite angles are equal.

To find the value of x

From figure we get,

<AEB = <CDE

2x + 50 = 7x

7x - 2x = 50

5x = 50

x = 10

To find m<AEB

m,<AEB = 2x + 50

= 2*10 + 50

= 20 + 50

= 70°

Therefore the correct answer is option B. 70