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)
Since ∠1 and ∠3 are a vertical pair, they are congruent. This means that m∠1 = m∠3.
We are given that m∠1 = (4x+26)° and m∠3 = 98°.
Setting these two expressions equal to each other, we get:
4x + 26 = 98
Subtracting 26 from both sides gives:
4x = 72
Dividing by 4 on both sides gives:
x = 18
Therefore, the value of x is 18.