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
First we'll substitute
with 

Then we can separate this.

Then we'll solve this.



Then we'll plug in to find the extraneous solutions (if any)

Answer:
64 degree and 116 degree
Step-by-step explanation:
4y-44+3y+35=180(Linear pair)
7y=189
y=27
4(27)-44=64
3(27)+35=116