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)Responses7272 9898 1414 18

Answer 1

Since ∠1 and ∠3 are a vertical pair, they are congruent, which means they have the same measure. Thus, m∠1 = m∠3.

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

Setting the two measures equal to each other, we get:

(4x+26)° = 98°

Now, we can solve for x:

4x+26 = 98

Subtracting 26 from both sides:

4x = 72

Dividing both sides by 4:

x = 18

Therefore, the value of x is 18.