Math · Geometry

Angle Relationships: Complementary, Supplementary, Vertical

Use complementary, supplementary, vertical and adjacent angles and the triangle angle sum to find unknown angles.

  • 🎓 Grade 7
  • 🧮 Math
  • 📐 7.G.B.5
  • ❓ 21 questions
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  1. What is the supplement of a 73° angle?

    • A 73°
    • B 107°
    • C 287°
    • D 17°

    73° + 107° = 180°

  2. A triangle has angles of 50° and 60°. What is the third angle?

    • A 80°
    • B 110°
    • C 70°
    • D 250°

    180 − 50 − 60 = 70

  3. Angles x and x + 20 are complementary. What is x?

    • A 45°
    • B 55°
    • C 80°
    • D 35°

    2x + 20 = 90, so x = 35

  4. Angles x and 2x are supplementary. What is x?

    • A 90°
    • B 30°
    • C 120°
    • D 60°

    3x = 180

  5. Can a triangle have sides of 3 cm, 4 cm and 9 cm?

    • A No
    • B Only if it is a right triangle
    • C Yes

    3 + 4 < 9, so the sides cannot meet.

  6. What is the complement of a 35° angle?

    • A 35°
    • B 145°
    • C 55°
    • D 125°

    35° + 55° = 90°

  7. What is the complement of a 47° angle?

    • A 133°
    • B 43°
    • C 137°
    • D 47°

    47° + 43° = 90°

  8. Vertical angles are always equal.

    True

  9. Two lines cross. One angle is 48°. What is the measure of an angle next to it?

    • A 48°
    • B 312°
    • C 132°
    • D 42°

    Adjacent angles on a line are supplementary.

  10. Two acute angles can be supplementary.

    False Two angles less than 90° add to less than 180°.

  11. What is the supplement of a 128° angle?

    • A 128°
    • B 38°
    • C 232°
    • D 52°

    128° + 52° = 180°

  12. Two lines cross. One angle is 115°. What is the measure of an angle next to it?

    • A 245°
    • B 25°
    • C 115°
    • D 65°

    Adjacent angles on a line are supplementary.

  13. What is the complement of a 18° angle?

    • A 108°
    • B 162°
    • C 18°
    • D 72°

    18° + 72° = 90°

  14. What is the supplement of a 45° angle?

    • A 136°
    • B 315°
    • C 135°
    • D 45°

    45° + 135° = 180°

  15. What is the complement of a 62° angle?

    • A 28°
    • B 152°
    • C 118°
    • D 62°

    62° + 28° = 90°

  16. What is the supplement of a 110° angle?

    • A 110°
    • B 250°
    • C 70°
    • D 20°

    110° + 70° = 180°

  17. Two lines cross. One angle is 115°. What is the angle vertical to it?

    • A 245°
    • B 115°
    • C 230°
    • D 65°

    Vertical angles are equal.

  18. Angles (3x + 10)° and (x + 30)° are vertical angles. What is x?

    • A 20
    • B 10
    • C 35
    • D 5

    3x + 10 = x + 30, so 2x = 20

  19. A right triangle has one angle of 35°. What is the other acute angle?

    • A 35°
    • B 55°
    • C 145°
    • D 65°

    90 − 35 = 55

  20. Two lines cross. One angle is 48°. What is the angle vertical to it?

    • A 48°
    • B 132°
    • C 42°
    • D 96°

    Vertical angles are equal.

  21. Two lines cross. One angle is 72°. What is the angle vertical to it?

    • A 108°
    • B 72°
    • C 18°
    • D 144°

    Vertical angles are equal.

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