Question

Please help asap
thank you very much

Answer 1

x=30 , y=165 & z=10

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Answer 2

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