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 7272 18 18 9898 14

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we need to use the fact that vertical angles are congruent. This means that ∠1 and ∠3 are equal to each other.

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

4x + 26 = 98

Subtracting 26 from both sides:

4x = 72

Dividing both sides by 4:

x = 18

Therefore, the value of x is 18.