Testinar Grade 7 math

Angle Relationships: Supplementary, Complementary, and Vertical Angles

Students will build Grade 7 mastery of angle relationships: supplementary, complementary, and vertical angles using models, equations, and test-style reasoning.

CH06-06 Geometry and Scale
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.
  1. Two angles are supplementary. If one angle measures 65°, what is the measure of the other angle?

    1. 25°
    2. 35°
    3. 115°
    4. 295°
  2. Two rays form a right angle, and a third ray splits it into complementary angles. One angle measures 34°. What is the measure of angle \(x\)?

    Angle Relationships: Supplementary, Complementary, and Vertical Angles visual for G7-C06-T06-Q002
    1. 56°
    2. 34°
    3. 90°
    4. 124°
  3. Two straight lines intersect. One angle formed is 50°. What is the measure of the angle marked \(y\)?

    Angle Relationships: Supplementary, Complementary, and Vertical Angles visual for G7-C06-T06-Q003
    1. 130°
    2. 90°
    3. 50°
    4. 140°
  4. Two lines intersect forming vertical angles. One angle is 72°. What is the measure of the vertically opposite angle \(a\)?

    Angle Relationships: Supplementary, Complementary, and Vertical Angles visual for G7-C06-T06-Q004
    1. 18°
    2. 72°
    3. 108°
    4. 180°
  5. Two angles form a linear pair. One angle measures 91°. What is the measure of the other angle?

    1. 1°
    2. 89°
    3. 45°
    4. 179°
  6. A ray splits a straight angle into two adjacent angles. One angle is 70°. Find the measure of angle \(b\).

    Angle Relationships: Supplementary, Complementary, and Vertical Angles visual for G7-C06-T06-Q006
    1. 20°
    2. 70°
    3. 110°
    4. 180°
  7. If angle \(x\) and angle \(y\) are complementary, and \(x=37°\), what is \(y\)?

    1. 53°
    2. 43°
    3. 37°
    4. 143°
  8. Two lines intersect. One angle measures 63°. What is the measure of the vertically opposite angle \(d\)?

    Angle Relationships: Supplementary, Complementary, and Vertical Angles visual for G7-C06-T06-Q009
    1. 27°
    2. 63°
    3. 117°
    4. 153°
Teacher and parent reference

Answer key and explanations

  1. C. 115°

    Supplementary angles sum to 180°: \(180-65=115°\).

  2. A. 56°

    Complementary angles sum to 90°: \(x=90-34=56°\).

  3. A. 130°

    Adjacent angles on a straight line are supplementary: \(y=180-50=130°\).

  4. B. 72°

    Vertical angles are equal, so the opposite angle is also 72°.

  5. B. 89°

    A linear pair is supplementary: \(180-91=89°\).

  6. C. 110°

    Angles on a straight line are supplementary: \(180-70=110°\).

  7. A. 53°

    Complementary angles sum to 90°: \(y=90-37=53°\).

  8. B. 63°

    Vertical angles are equal. The angle opposite 63° is 63°.

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP