Question

(30 points)

in the figure AB/CD. What are the values of x and y?
A: x=32, y=140
b: x=140, y=52
c: x=52, y=140
d: x=38, y=154​

Answer 1

C.

Explanation:

interior angles for ABCD is 360° and for ABO(triangle above) is 180°

from triangle,

you will get angle for OBA which is 180° - 38° - 90° = 52°

from angle B, we know that, straight line is 180°.

so,

180° = 52° +y- 12°

y = 140°

so, we can calculate x.

360° = 90° + 90° + 128° + x

x = 52°