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. 14
B. 72
C. 18
D. 98
Since angles 1 and 3 are vertical angles, they are congruent. Therefore, we can set up the equation:
4x + 26 = 98
Subtracting 26 from both sides, we get:
4x = 72
Dividing both sides by 4, we get:
x = 18
Therefore, the value of x is 18. The correct answer is C. 18.