Answer:
See images
Step-by-step explanation:
When two lines cross, the angles opposite each other are equal (they are called vertical angles--different from how we use the word vertical in other math classes) The angles next to each other add up to 180° (supplementary angles)
All the angles in a triangle add up to 180°
Perpendicular lines makes right angles, those are 90°
When you have parallel lines and another line crossing them, you get 8 angles, but 4 if them are all the same. Subtract the measure from 180 and you have the measure of the other four angles. Look for a Z shape; the angles tucked inside the Z are alternate interior angles and they are equal. The alternate interior angles and their vertical angles are what make up the 4-pack of equal angles.
These are all the rules you need to know to find all 20 of the angles in your question. See images
