These questions all use the same fact.
Opposite angles in a cyclic quadriateral are Supplementary, That means they add up to 180 degrees.
Now you can work all of them out by yourself.
First one :
A + 121 = 180 subtract 121 from both sides
A = 180 - 121 = 59°
Second one :
(4x + 5) + (x + 15) = 180 simplify
5x + 20 = 180 subtract 20 from both sides
5x = 160 divide both sides by 5
x = 32
So....A = (4 * 32 + 5) = 133°
Third one :
(6x + 19) + x = 180
7x + 19 = 180 subtract 19 from both sides
7x = 161 divide both sides by
x = 23
B = 6*23 + 19 = 157°
Last one :
B + D = 180....so....
3x + (x + 20) = 180
4x + 20 = 180 subtract 20 from both sides
4x = 160 divide both sides by 4
x = 40
So A + C = 180 ......so....
(2 * 40 + 38 ) + C = 180
118 + C = 180 subtract 118 from both sides
C = 62°