Find the values of x and y. The diagram is not to scale.
a.
x = 77, y = 59
c.
x = 57, y = 77
b.
x = 77, y = 57
d.
x = 41, y = 57

Question

Find the values of x and y. The diagram is not to scale. 
a.
x = 77, y = 59
c.
x = 57, y = 77
b.
x = 77, y = 57
d.
x = 41, y = 57

christinestutes · Answer

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ybarrap · Answer

Use the fact that all the angles on the above the horizontal must equal 180 degrees and the angles adjacent to the parallel lines must be equal:
$$
(x-3)+41+(y+8)=180\
(x-3)=74
$$

Make sense?

christinestutes · Answer

so x= 77?

geerky42 · Answer

Yep. so that leaves us A or C.

Now plug x=77 in first equation and solve for y.

christinestutes · Answer

one more?   line r is parallel to line t. Find m 5.

christinestutes · Answer

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geerky42 · Answer

Can you tell me what $m\angle1$ is?

From there, you would know what $m\angle5$ is, since they are corresponding angles.