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Grade 10 Angles Formed by Parallel Lines & Transversals Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 2: Lines, Angles & TransformationsParallel Lines & TransversalsCCSS G-CO.C.9

Corresponding, alternate and same-side angles formed when a transversal crosses parallel lines. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Angles Formed by Parallel Lines & Transversals

Grade 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Parallel Lines & Transversals · CCSS G-CO.C.9

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle?

Answer: 106°

RememberParallel lines and a transversal

Correspondingsame positionequalAlternate interiorinside, opposite sidesequalSame-side interiorinside, same sideadd up to 180°
  1. 1

    Two parallel lines are cut by a transversal. One angle is 114°. What is its alternate exterior angle?

    114°
    Answer
  2. 2

    Parallel lines are cut by a transversal. A pair of alternate interior angles measure (3x - 1)° and 47°. Find x.

    Show your work
    Answer
  3. 3

    Two parallel lines are cut by a transversal. One angle is 133°. What is its same-side interior angle?

    133°
    Answer
  4. 4

    Two parallel lines are cut by a transversal. One angle is 61°. What is its alternate exterior angle?

    61°
    Answer
  5. 5

    Two parallel lines are cut by a transversal. One angle is 145°. What is its same-side interior angle?

    145°
    Answer
  6. 6

    Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle?

    111°
    Answer
  7. 7

    Two parallel lines are cut by a transversal. One angle is 89°. What is its alternate interior angle?

    89°
    Answer
  8. 8

    Parallel lines are cut by a transversal. A pair of alternate exterior angles measure (4x + 8)° and 92°. Find x.

    Show your work
    Answer
  9. 9

    Two parallel lines are cut by a transversal. One angle is 85°. What is its alternate interior angle?

    85°
    Answer
  10. 10

    Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle?

    80°
    Answer
  11. 11

    Parallel lines are cut by a transversal. A pair of corresponding angles measure (4x + 9)° and 117°. Find x.

    Show your work
    Answer
  12. 12

    Two parallel lines are cut by a transversal. One angle is 56°. What is its alternate interior angle?

    56°
    Answer

★ Challenge corner for fast finishers

On a grid, you walk from the bottom-left corner to a point 4 blocks right and 2 blocks up, moving only right or up. How many different shortest paths are there?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/parallel_lines_angles

Answer key (click to show)
  1. 1.114°
  2. 2.x = 16
  3. 3.47°
  4. 4.61°
  5. 5.35°
  6. 6.111°
  7. 7.89°
  8. 8.x = 21
  9. 9.85°
  10. 10.80°
  11. 11.x = 27
  12. 12.56°
  13. ★15 (challenge corner)

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