Answer:
8.) c
9.) d
10.) d
Step-by-step explanation:
8.) These are same side interior angles so they have a different measures that equal up to 180.
75 + 4x - 9 = 180 (collect like terms)
4x + 66 = 180 (subtract 66 on both sides)
4x = 114 (divide by 4 on both sides)
x = 28.5
9.) 8x -14 and 5x + 34 are alternate exterior angles so the equal the same measure.
8x - 14 = 5x + 34 (add 14 on both sides)
8x = 5x + 48 (subtract 5x on both sides)
3x = 48 (divide by 3 on both sides)
x = 16 NOW PLUG IN TO 8x - 14 to find y
8(16) - 14 + 5y + 16 = 180 (distribute and collect like terms)
130 + 5y = 180 (subtract 130 on both sides)
5y = 50 (divide by 5 on both sides)
y = 10
10.) They have the same measure they are alternate exterior angles
16x + 22 = 134 (subtract 22 on both sides)
16x = 112 (divide by 16 on both sides)
x = 7
Hope this helps ya!!
