Question

n 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

7272

18
18

Answer 1

To find the value of x, we can use the fact that vertically opposite angles are equal. This means that ∠1 and ∠3 are the same measure.

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

4x + 26 = 98

Subtracting 26 from both sides, we get:

4x = 72

Dividing both sides by 4, we get:

x = 18

So the value of x is 18.