1)
add ∠1 and ∠2 and set them equal to 180, since they create a straight line, and solve for x.
4x + 16 + 2x - 10 = 180
6x + 6 = 180
6x = 174
x = 29
Now find ∠1 by using 29 for x.
4(29) + 16 = 132°
2)
First find the angle that is in the middle of 40° and 50°. Let that angle be y.
40 + 60 + y = 180
100 + y = 180
y = 80
Now we can see that ∠x has the measure of 40 + y.
40 + 80 = 120°
Hope this helps :)