Answer:
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
Answer:
1.) x = 37
2.) m<SVW = 74 deg
3.) m<TWV = 106 deg
