n 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

9898

18
18

7272

14

Answer 1

In this case, since ∠1 and ∠3 are vertical angles, they are congruent (they have the same measure). So, set up an equation:

m∠1 = m∠3
4x + 26 = 98

Now, solve for x:

4x = 98 - 26
4x = 72
x = 72 / 4
x = 18

Therefore, the value of x is 18.