Challenging Problems with Parallel Lines Geometry

If m∠4 = 30, what is the m∠1?

• 30°

• 45°

• 135°

• 150°

Classify the relationship between ∠7 and ∠8.

• Corresponding

• Alternate Interior

• Supplementary

• Vertical

• It's complicated!

If m∠1= 98 °and m∠2 = 40°, what is the measure of ∠3?

• 40°

• 82°

• 140°

• 98°

If m∠1= 98° and m∠2 = 40°, what is the measure of ∠4?

• 40°

• 82°

• 140°

• 98°

If m∠1= 98° and m∠2 = 40°, what is the measure of ∠5?

• 40°

• 82°

• 140°

• 98°

If m∠1= 98° and m∠2 = 40°, what is the measure of ∠8?

• 40°

• 82°

• 140°

• 98°

If m∠1= 98° and m∠2 = 40°, what is the measure of ∠9?

• 40°

• 82°

• 140°

• 98°

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem