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

72

14

18
18

98

3 answers

In a vertical pair of angles, the angles are congruent. Therefore, ∠1 = ∠3.

We are given that m∠1 = (4x+26)° and m∠3 = 98°.

Since ∠1 = ∠3, we can set up the following equation:
(4x+26)° = 98°

To solve for x, we can subtract 26 from both sides of the equation:
4x = 98 - 26
4x = 72

Finally, divide both sides of the equation by 4 to solve for x:
x = 72/4
x = 18

Therefore, the value of x is 18.

its not 18

whats the answer