Question

In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55

Answer 1

B (38)

Explanation:

Since ∠AED and ∠CEB form a pair of vertical angles, their measures are equal. We can express this relationship algebraically as: 3x + 11 = 125. Use the associative property to collect the constant terms on one side of the equation:

Answer 2

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38