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
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.