8th grade Ch5 L1

Refer to the porch stairs shown. Line m is parallel to line n and m∠7 is 35°. Find the measure of ∠1. Justify your answer.

• The measure of ∠1 is 35°. (Corresponding angles are equal when lines are parallel.)

• The measure of ∠1 is 55°. (Alternate interior angles are supplementary when lines are parallel.)

• The measure of ∠1 is 145°. (Vertical angles are equal when lines are parallel.)

• The measure of ∠1 is 90°. (Angles on a straight line are right angles when lines are parallel.)

Refer to the figure at the right. Line a is parallel to line b and m∠2 is 135°. Find the measure of ∠9. Justify your answer.

• The measure of ∠9 is 135°. (Corresponding angles are equal when lines are parallel.)

• The measure of ∠9 is 45°. (Alternate interior angles are supplementary when lines are parallel.)

• The measure of ∠9 is 90°. (Vertical angles are always right angles.)

• The measure of ∠9 is 180°. (Angles on a straight line add up to 180°.)

Refer to the figure at the right. Line a is parallel to line b and m∠2 is 135°. Find the measure of ∠7. Justify your answer.

• The measure of ∠7 is 45°. (Alternate interior angles are supplementary when lines are parallel.)

• The measure of ∠7 is 135°. (Alternate interior angles are congruent when lines are parallel.)

• The measure of ∠7 is 90°. (Corresponding angles are right angles when lines are parallel.)

• The measure of ∠7 is 60°. (Alternate interior angles are complementary when lines are parallel.)

The measures of the angles are related in which way when parallel lines are cut by a transversal?

• Corresponding angles are equal, and alternate interior angles are equal.

• All angles are equal.

• Only adjacent angles are equal.

• No angles are related.

Classify the pair of angles ∠2 and ∠4 as alternate interior, alternate exterior, or corresponding.

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Vertical angles

Classify the pair of angles ∠4 and ∠5 as alternate interior, alternate exterior, or corresponding.

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Vertical angles

In the flag shown at the right, line a is parallel to line b. If m∠1 = 150°, what are the measures of m∠4 and m∠7?

• m∠4 = 30°, m∠7 = 150°

• m∠4 = 150°, m∠7 = 30°

• m∠4 = 150°, m∠7 = 150°

• m∠4 = 30°, m∠7 = 30°

Find the measure of ∠7. Justify your answer.

• m∠7 = 90°

• m∠7 = 45°

• m∠7 = 60°

• m∠7 = 120°

Find the measure of ∠8. Justify your answer.

• 90°

• 45°

• 60°

• 120°

Find the measure of ∠3. Justify your answer.

• 45°

• 60°

• 90°

• 120°