Question

( angle A ) and ( angle B ) are vertical angles. If ( m_A = (4x + 8) ) and ( m_B = (2x + 28)° ), then find the value of x.

A. 8
B. 10
C. 12
D. 14

Answer 1

To find the value of x, we can set (4x + 8) equal to (2x + 28) and solve for x. The value of x is 10, so the answer is option B. 10.

Step-by-step explanation:

In this problem, (angle A) and (angle B) are vertical angles. Vertical angles are formed by the intersection of two lines and are congruent to each other. Therefore, we can set (4x + 8) equal to (2x + 28) and solve for x.

(4x + 8) = (2x + 28)

Subtract 2x from both sides: 2x + 8 = 28

Subtract 8 from both sides: 2x = 20

Divide by 2: x = 10

So, the value of x is 10. Therefore, the correct answer is option B. 10.