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)Responses72 98 14 18

Answer 1

Since angle ∠1 and ∠3 are a vertical pair, they are congruent, so:

m∠1 = m∠3
(4x + 26)° = 98°

Subtracting 26 from both sides:

4x = 98 - 26
4x = 72

Dividing by 4:

x = 18

Therefore, the value of x is 18.