Question

Please help asap! question attached in file below

Answer 1

The answer is C.

m∠x = 50°
m∠y = 125°

m∠x + 40° = 90°
x + 40 = 90
- 40 - 40
x = 50°

m∠y + 55° = 180°
y + 55 = 180
- 55 - 55
y = 125°

Answer 2

All the angles around a point on one side of a line add up to 180°.

A). Look at the angles at point-D, above the line.
You've got 40° and you've got a right angle ... 90°.
Those two angles add up to (40° + 90°) = 130°.
How much more is needed to make 180° ?
(180° - 130°) = 50°. That's angle 'x'.

B). Look at the angles at point-C, below the line.
You've got 55°.
How much more is needed to make 180° ?
(180° - 55°) = 125°. That's angle 'y'.