Find missing angles (straight line, corner, crossing lines)

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Ren paints two stripes out from the square corner of a giant toy block. The stripes split the corner into 18°, x and 35°. What is x, in degrees?

  2. Two roads cross by Zee's park. A bike path from the crossing splits one angle into adjacent angles, 38° and 27°. Angle x is across from that whole angle. What is x?

  3. Jun swings the gym door open for the relay race. The angles on each side of the door are supplementary: 84° and (3x)°. What is x?

  4. Luz sticks a paper chain out from the square corner of a window. It splits the corner into complementary angles of 22° and (4x)°. What is x?

  5. Milo's scissors open wide, and the blades cross like an X. Angle x is across from a 137° angle. What kind of angle pair are they?

    • Vertical angles: they are equal
    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
  6. At sunset a ray of light reaches the flat lake by Noah's tent. The angles on each side of the ray are 21° and x. What kind of angle pair are they?

    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal, and sit across from each other
    • Complementary angles: they add to 90°
  7. Ren stands a pencil on a flat ruler for a wobbly science demo. The angles on each side of the pencil are 152° and x. What kind of angle pair are they?

    • Vertical angles: they are equal
    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
  8. Tala stitches a line out from the square corner of a quilt square. It splits the corner into 40° and (5x)°. Which equation finds x?

    • 5x + 40 = 90
    • 5x + 40 = 360
    • 5x + 40 = 180
    • 5x = 40
  9. Zee's kite sticks cross like an X. The (x + 25)° angle is across from a 94° angle. Which equation finds x?

    • x + 25 + 94 = 90
    • x + 25 + 94 = 180
    • x + 25 = 94
    • x + 25 + 94 = 360
  10. Luz paints three spokes of a bike wheel bright colors. The painted spokes make angles of 62°, 104° and x around the hub. What is x, in degrees?

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Find missing angles (straight line, corner, crossing lines)

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. Ren paints two stripes out from the square corner of a giant toy block. The stripes split the corner into 18°, x and 35°. What is x, in degrees?

    37
  2. Two roads cross by Zee's park. A bike path from the crossing splits one angle into adjacent angles, 38° and 27°. Angle x is across from that whole angle. What is x?

    65
  3. Jun swings the gym door open for the relay race. The angles on each side of the door are supplementary: 84° and (3x)°. What is x?

    32
  4. Luz sticks a paper chain out from the square corner of a window. It splits the corner into complementary angles of 22° and (4x)°. What is x?

    17
  5. Milo's scissors open wide, and the blades cross like an X. Angle x is across from a 137° angle. What kind of angle pair are they?

    • Vertical angles: they are equal
    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
  6. At sunset a ray of light reaches the flat lake by Noah's tent. The angles on each side of the ray are 21° and x. What kind of angle pair are they?

    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal, and sit across from each other
    • Complementary angles: they add to 90°
  7. Ren stands a pencil on a flat ruler for a wobbly science demo. The angles on each side of the pencil are 152° and x. What kind of angle pair are they?

    • Vertical angles: they are equal
    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
  8. Tala stitches a line out from the square corner of a quilt square. It splits the corner into 40° and (5x)°. Which equation finds x?

    • 5x + 40 = 90
    • 5x + 40 = 360
    • 5x + 40 = 180
    • 5x = 40
  9. Zee's kite sticks cross like an X. The (x + 25)° angle is across from a 94° angle. Which equation finds x?

    • x + 25 + 94 = 90
    • x + 25 + 94 = 180
    • x + 25 = 94
    • x + 25 + 94 = 360
  10. Luz paints three spokes of a bike wheel bright colors. The painted spokes make angles of 62°, 104° and x around the hub. What is x, in degrees?

    194