Can someone help me. this is geo. if you could help that would mean to me

1.) x = 37

2.) m<SVW = 74 deg

3.) m<TWV = 106 deg

Step-by-step explanation:

Linea SY and TZ are shown to be parallel.

Angles SVW and TWV are same-side interior angles.

Theorem:

If parallel lines are cut by a transversal, then same-side interior angles are supplementary.

m<SVW + m<TWV = 180 (by the definition of supplementary angles)

2x + 3x - 5 = 180

5x - 5 = 180

5x = 185

x = 37

m<SVW = 2x = 2(37) = 74

m<TWV = 3x - 5 = 3(37) - 5 = 111 - 5 = 106

1.) x = 37

2.) m<SVW = 74 deg

3.) m<TWV = 106 deg

correct answers below: