In a geometric figure two intersecting lines creating four angles. If 1 and 3 are a vertical pair, m 1 = (4x + 26), and m 3 = 98, what is the value of x?

Question

A. 98

B. 14

C. 72

D. 18

Answer 1

Since angles 1 and 3 are a vertical pair, they are congruent. Therefore, we have the equation:

m1 = m3

(4x + 26) = 98

Simplifying the equation:

4x = 98 - 26

4x = 72

Dividing both sides of the equation by 4:

x = 72/4

x = 18

Therefore, the value of x is 18.

The answer is D. 18.