Geometry homework .
two questions. 15 points for the brainliest!

show all work so that i can learn how to do this.
in advance

5)
m∠VUT = m∠BUT + m∠VUВ
15x + 15 = 20 + 10х + 50
15x + 15 = 10x + 70
15x - 10x = 70 + 15
5x = 55
x = 11

m∠VUT = 15x + 15
             = 15*11 + 15
             = 165 + 15
             = 180°

6)
m∠TBC = m∠ABC - m∠ABT
162 + x = 176 - (x + 38)
162 + x = 176 - x - 38
162 + x = 138 - x
x + x = 138 - 162
2x = -24
x = -12

m∠TBC = 162 + x
             = 162 + (-12)
             = 162 - 12
             = 150°