Converse theorem. Parallel lines and angles
Answers are for parents and teachers.
1
a ∥ b, one alternate interior angle is 114°. The other (degrees)?
114
2
a ∥ b, same-side interior angles 2x and 7x. Find the smaller angle (degrees).
40
3
Write the converse of “If two angles are vertical, they are equal” and say whether it is true.
Equal angles are vertical — false.
4
Parallel lines and a transversal: one angle is 48°. What values do the eight angles take?
48° and 132° (four of each)
5
Write the converse of the isosceles base-angle theorem.
A triangle with two equal angles is isosceles.