Answer:
Step-by-step explanation:
Comment
You must solve x and then y in that order. The reason for that is there are 2 x values and they can be equated to each other. The you can go after the y value, since they are supplement with the value you get from the first operation.
Equations
x + 45 = 2x+ 8
<3 + y + 30 = 180
Solution
<1 and <3 are equal Two vertically opposite angles are always =.
x + 45 = 2x + 8 Subtract x from both sides
x-x + 45 = 2x - x + 8 Combine
45 = x + 8 Subtract 8 from both sides
45 - 8 = x + 8 - 8 Combine
37 = x
<1 + <2 = 180 These two angles sit on the same straight line and have a side in common
x + 45 + y + 30 = 180 Substitute for x
37 + 45 + y + 30 = 180 Combine
112 + y = 180 Subtract 112 from both sides
112-112 + y = 180 - 112 Combine
y = 68
