Question

In a geometric figure two intersecting lines create four angles, where ∠1
and ∠3
are a vertical pair. If m∠1=(3x−25)°
and m∠3=104°
, what is the value of x
?(1 point)
Incorrect

Write an equation to show the vertical angles have the same measure. Solve for x .

Answer 1

Vertical angles are equal, so set their measures equal:

3x − 25 = 104
3x = 104 + 25 = 129
x = 129 / 3 = 43

Check: 3(43) − 25 = 129 − 25 = 104.