Problem solving and Chapter IV review
Answers are for parents and teachers.
1
a ∥ b. Alternate interior angles 7x − 12° and 4x + 18°. Find x.
10
2
a ∥ b. Same-side interior angles 3x and 5x. Find the larger (degrees).
112.5°
3
Two angles have respectively parallel sides; one is 52° (acute). If the other is also acute, find it.
52
4
State the three theorems for parallel lines and a transversal.
Alternate and corresponding angles are equal; same-side interior angles add to 180°.
5
Write one theorem of Chapter IV and its converse.
For example: equal alternate angles ⇒ parallel; parallel ⇒ equal alternate angles.