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)

Question

Responses

1414

7272

9898

18

Answer 1

To find the value of x, we need to use the property that vertical angles are congruent, meaning they have the same measure.

In this case, since ∠1 and ∠3 are a vertical pair, their measures are equal. So, we have the equation:

m∠1 = m∠3

Substituting the given values, we have:

(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.