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 18 14 98 72
If ∠1 and ∠3 are vertically opposite angles, then they are congruent (have the same measure).
So, ∠1 = ∠3.
Given that m∠1 = (4x + 26)° and m∠3 = 98°, we can set up the equation:
(4x + 26)° = 98°
Now we can solve for x:
4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = 18
Therefore, the value of x is 18.