Question

Find all missing angles in the diagrams below, please help​

Answer 1

x = 80,

y = 80

Explanation:

This is difficult to explain, so here are the theorems used

two lines parallel, with a transversal; alternate interior angles,

verticle angles theorem,

parts - whole postulate,

verticle angles theorem,

parts- whole postulate,

sum angles in a triangle,

supplementary angle, definition straight angle,

parts- whole postulate,

there are many other ways to reach the answer, I just whent this way.

Answer 2

x= 80°, y= 100°

Explanation:

Please see the attached picture for the full solution.