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?
A. 98
B. 14
C. 72
D. 18
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.