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. 14
B. 72
C. 18
D. 98

Answer 1

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.