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

9898

1414

18
18

72

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we know that angle 1 and angle 3 are vertical angles, which means they are congruent. 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.