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?

Answer 1

If ∠1 and ∠3 are a vertical pair, then they are congruent angles. Therefore, we can set up the equation:

m∠1 = m∠3

4x + 26 = 98

Subtracting 26 from both sides, we have:

4x = 72

Dividing both sides by 4, we get:

x = 18

Therefore, the value of x is 18.