Exercise 4 Page 459

Of the 13 statements, only 2 of them are about angles so let's make some more statements about angles.

Statements we can assume to be true

It should be easy to work with the angles around F since we know that one of them, ∠ GFH, is a right angle.

1. ∠ GFH ≅∠ EFC (Vertical Angles)
2. ∠ GFH ≅∠ EFH (Linear Pair)

Statements we cannot assume to be true

To form two statements that we cannot assume to be true, we use the fact that we are not sure whether BD and EG are parallel lines.

1. ∠ GFH ≅∠ DCF (Corresponding Angles)
2. ∠ GFH≅ ∠ ACB (Alternate Exterior Angles)

The two statements rely on the fact that BD and EG are parallel lines.