Question

I know y= 40 but what is x ?

Answer 1

Answer:

x = 67; y = 40

Step-by-step explanation:

You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.

To find x, look at angles 2x - 17 and 63.

They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.

2x - 17 + 63 = 180

2x + 46 = 180

2x = 134

x = 67