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

9898

1414

7272

18

Answer 1

We know that vertical angles are congruent, meaning they have the same measure. Therefore, we can set up the equation:

4x + 26 = 98

Subtract 26 from both sides:

4x = 72

Divide both sides by 4:

x = 18

Therefore, the value of x is 18.