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?(1 point)

Question

Responses

72
72
18
18
98
98
14

Answer 1

Since ∠1 and ∠3 are a vertical pair, they are congruent. Therefore, we can set up the equation:

4x + 26 = 98

Subtracting 26 from both sides:

4x = 72

Dividing both sides by 4:

x = 18

Therefore, the value of x is 18.