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8. Okay, so the “x”’s are both on opposite sides and would both equal 180 when combined. We would set this up as 4x - 160 = 180. Add 160 to both sides to get 4x = 340. Divide each side by 4 to isolate the x. When you do that, you get 85. If you plug in the number, this is what you get:
x = 85
x angle = 85 degrees
3x - 160 = 95 degrees
Both of the sums of the angles add up to 180 degrees. Those are the answers.
9.
This one is a bit difficult. Both angles are the same measurement, so let’s do this: 182 - 4x = 5x + 2. Let’s subtract 5x from both sides. When you do, you get 182 - 9x = 2. Now, you subtract 182 from both sides. When you do, you get -9x = -180. Now, you must divide by -9 to isolate the x. When you do that, you get x = 20. Now plug in the number, and this is what you get:
x = 20
182 - 4x = 102 degrees
5x + 2 = 102 degrees
The good news is that the angle on top has the same angle measurement, so you don’t have to do much. 4y + 2 = 102. Subtract 2 from both sides to get 4y = 100. Divide each side by 4 to isolate the y. When you do that, this is the answer:
y = 25
