Question

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
18

72
72

14
14

98

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since ∠1 and ∠3 are a vertical pair, they are congruent, which means they have the same measure. Therefore, we can set up the equation:

4x + 26 = 98

Subtract 26 from both sides:

4x = 72

Divide both sides by 4:

x = 18

So the value of x is 18.