Explanation:
1.
since the 2 lines cross each other at a right angle (90°), there is no other angle in the system than 90°.
as there are 4 angles, and a full circle has 360°, each of the 4 angles must have 360/4 = 90°.
out of the 4 angles we have 4 linear pairs. and all of them have only 90° angles.
2.
the angles of a linear pair always add up to 180° (a half-circle on one side of a line).
so,
x + x/2 = 180
2x + x = 360
3x = 360
x = 120
one angle is 120°, the other is then 180-120 = 60°.
3.
one angle is
67° 10' 30"
the other angle is then
180 - 67° 10' 30" = 112° 49' 30"
4.
2x + 12 + 3x + 28 = 180
5x + 40 = 180
5x = 140
x = 28
5.
x = 20
one angle is 2x + 80 = 2×20 + 80 = 40 + 80 = 120°.
the other one is then
180 - 120 = 60°
I am not sure, if I see all possible answer options, because none of the visible ones work.
with x=20 we can reach 60° in many forms. e.g.
3x
2x + 20
4x - 20
usw.
please pick a fitting option.