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

7272

1414

9898

18

Answer 1

To determine the value of x, we can use the fact that vertical angles are congruent, meaning they have the same measure. So, we have:

m∠1 = m∠3
(4x+26)° = 98°

Now we can solve for x:

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

Therefore, the value of x is 18.