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
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.