Question 1:
This question may look complicated, but we have some unnecessary info.
All we need to know that the angle next to y must also be 30 degrees because of alternate interior angles.
Thus, y + 30 = 180
Subtract both sides by 30
y = 150
Question 2:
Angle a must also be 36 because of alternate interior angles.
We also have a triangle.
We know that 36+77+?=139 because of alternate interior angles.
Let's find the ? angle.
? = 26
Now we know that a+b+?=180 because it's a triangle.
36+b+26=180
b=118
That's all we need. The last choice is the only answer that matches these two answers.
(If you want to find the value of c by solving for it, just see that there's a triangle where all the angles but c is known)
Have an awesome day! :)