HELP ME I DONT NEED AN EXPLANATION

x = 15

WX = 34

Step-by-step explanation:

Part 1:

We know that arc AB and AC have to be equal because the lines splitting off from the center point are congruent to eachother.

Lets start by subtracting 106 from 360, which gives us 254. We know that both of our missing arcs have to add up to equal 254 and we also know that they're congruent. This means we can simply divide 254 by 2 to get 127 and set that equal to our 10x - 23.

10x - 23 = 127

Get x by itself

10x = 150

x = 15

Part 2:

Since we're assuming both XY and XW are tangent we're just going to set them equal to eachother.

7x - 29 = 2x + 16

Get your Xs on one side and your constants on the other.

5x = 45

Divide

x = 9

Plug in your x

7(9) - 29

63 - 29

WX = 34