What is the value of X?

The two given angles are vertical angles and equal each other:

3x + 50 = 6x -10

Now solve for x:

Subtract 3x from both sides:

50 = 3x -10

Add 10 to both sides:

60 = 3x

Divide both sides by 3

X = 20

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.