I'll do problem 1 to get you started.
Answers are in bold
- 1a) Point B. This point is the "hinge" so to speak of the angle 4. Or you can think of the angle as a pair of scissors. Point B is the vertex where the two metal parts meet up.
- 1b) There are two sides to angle 1 and they are BD and BC which form the angle in question.
- 1c) Angle DBE or Angle EBD are two different ways to relabel angle 5. The order doesn't matter as long as point B is at the center which is where the vertex point is always located.
- 1d) Angle FBC = Either a Right angle or Obtuse angle (it's not clear), Angle EBF = Obtuse angle, Angle ABC = Straight angle
- 1e) Segment EB or BE is an angle bisector. It cuts angle ABD into two equal parts (angle 4 and angle 5 are shown to be congruent through the similar angle markers)
- 1f) Angle EBC = 144 degrees since we simply add the two smaller angle pieces to get the larger angle we want. This works because the two smaller angles are adjacent and form the larger angle.
- 1g) I'm not sure what to do with this one. It seems like info is missing.