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) Responses

Answer 1

Since ∠1 and ∠3 are a vertical pair, they are congruent. This means that ∠1 = ∠3.

Given that m∠1 = (4x + 26)° and m∠3 = 98°, we can set up the equation:

4x + 26 = 98

Next, we can solve for x by subtracting 26 from both sides:

4x = 98 - 26
4x = 72

Finally, to isolate x, we divide both sides by 4:

x = 72/4
x = 18

Therefore, the value of x is 18.