Answer:
x = 24, y =24, ∠7,8 both equal 89
Step-by-step explanation:
Part A:
angle 6 and angle 3x+7 are the same by corresponding angles
4x+5 and angle 6 lie on the same line, thus they add up to 180 degrees.
4x+5 +3x +7 = 180
7x = 168
x = 24 degrees
Part B:
opposite angles equal each other, so angle 7 = angle 8, and angle 5y - 29 = angle 3y + 19
5y-29 = 3y + 19
2y = 48
y = 24
let x be the angle 7, which also equals angle 8
360 = 2x + 2(5y-29)
2x = 360 - 2(91)
2x = 178
x = 89
