In a geometric figure two intersecting lines create 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 answer

Since ∠1 and ∠3 are a vertical pair, they are congruent.

Therefore, we can set up the equation:

4x + 26 = 98

Subtract 26 from both sides:

4x = 72

Divide by 4:

x = 18

Therefore, the value of x is 18.