Answer:
∠ VWU and ∠ VUW are correct
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ VUP is an exterior angle of the triangle, so
17x + 6 = 56 + 8x + 4
17x + 6 = 60 + 8x ( subtract 8x from both sides )
9x + 6 = 60 ( subtract 6 from both sides )
9x = 54 ( divide both sides by 9 )
x = 6
Then
∠ VWU = 8x + 4 = 8(6) + 4 = 48 + 4 = 52° ← correct
∠ VUP = 17x + 6 = 17(6) + 6 = 102 + 6 = 108°
∠ VUW = 180° - 108° ( adjacent angles sum to 180° )
∠ VUW = 72° ← correct
