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

Answer 1

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?

Answer 2

so x= 77?

Answer 3

Yep. so that leaves us A or C.

Now plug x=77 in first equation and solve for y.

Answer 4

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

Answer 5

Can you tell me what \(m\angle1\) is?

From there, you would know what \(m\angle5\) is, since they are corresponding angles.