L6 · Angle relationships

1. 1.

   Two parallel lines are cut by a transversal. One corresponding angle measures 45°. Find the other corresponding angle.

   Answer. 45°

   Corresponding angles are congruent.

2. 2.

   Two parallel lines are cut by a transversal. One corresponding angle measures 66°. Find the other corresponding angle.

   Answer. 66°

   Corresponding angles are congruent.

3. 3.

   Two parallel lines are cut by a transversal. One corresponding angle measures 46°. Find the other corresponding angle.

   Answer. 46°

   Corresponding angles are congruent.

4. 4.

   Two parallel lines are cut by a transversal. One corresponding angle measures 54°. Find the other corresponding angle.

   Answer. 54°

   Corresponding angles are congruent.

5. 5.

   Two parallel lines are cut by a transversal. One corresponding angle measures 67°. Find the other corresponding angle. Then Mei needs 5 of that amount. What is the total they need?

   Answer. 335°

   Corresponding angles are congruent. Then multiply by 5: 335°.

6. 6.

   Two parallel lines are cut by a transversal. One consecutive interior angle is 49°. Find the other. Then Grace needs 4 of that amount. What is the total they need?

   Answer. 524°

   Consecutive interior angles are supplementary: 180 − 49 = 131. Then multiply by 4: 524°.

7. 7.

   Two parallel lines are cut by a transversal. One consecutive interior angle is 51°. Find the other. Then Luis needs 4 of that amount. What is the total they need?

   Answer. 516°

   Consecutive interior angles are supplementary: 180 − 51 = 129. Then multiply by 4: 516°.

8. 8.

   Two parallel lines are cut by a transversal. One consecutive interior angle is 60°. Find the other. Then Nora needs 4 of that amount. What is the total they need?

   Answer. 480°

   Consecutive interior angles are supplementary: 180 − 60 = 120. Then multiply by 4: 480°.

9. 9.

   Two parallel lines are cut by a transversal. One corresponding angle measures 51°. Find the other corresponding angle. Then Sam needs 4 of that amount. What is the total they need?

   Answer. 204°

   Corresponding angles are congruent. Then multiply by 4: 204°.

10. 10.

    Two parallel lines are cut by a transversal. One consecutive interior angle is 48°. Find the other. Then Malik needs 3 of that amount. What is the total they need?

    Answer. 396°

    Consecutive interior angles are supplementary: 180 − 48 = 132. Then multiply by 3: 396°.

11. 11.

    Think

    Grace tried this problem:
    Two parallel lines are cut by a transversal. One consecutive interior angle is 48°. Find the other.
    Grace wrote 264°. That is not correct. What is the right answer?

    Answer. 132°

    Grace’s answer 264° is off. Consecutive interior angles are supplementary: 180 − 48 = 132.

12. 12.

    Think

    Elena tried this problem:
    Two parallel lines are cut by a transversal. One corresponding angle measures 53°. Find the other corresponding angle.
    Elena wrote -53°. That is not correct. What is the right answer?

    Answer. 53°

    Elena’s answer -53° is off. Corresponding angles are congruent.

Original extra practice. Keys are computed from the items, not guessed.