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. Ari cuts a pizza with two straight cuts that cross. A short cut from the middle splits one angle into 44° and 39°. Angle x is across from that whole angle. What is x?

  2. 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?

  3. Kira folds the square corner of a paper for a paper-plane wing. The fold makes complementary angles of 34° and (2x)°. What is x?

  4. 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?

    • Vertical angles: they are equal, and sit across from each other
    • Complementary angles: they add to 90°
    • Supplementary angles: they add to 180°
  5. 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°
  6. 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 = 360
    • 5x + 40 = 90
    • 5x + 40 = 180
    • 5x = 40
  7. 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 = 180
    • x + 25 + 94 = 360
    • x + 25 + 94 = 90
    • x + 25 = 94
  8. Ari draws a line out from the square corner of a birthday-card envelope. It splits the corner into 31° and (3x)°. Which equation finds x?

    • 3x + 31 = 90
    • 3x = 31
    • 3x + 31 = 360
    • 3x + 31 = 180
  9. 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?

  10. Milo cuts a birthday cake into three pieces from the center. Two of the angles at the center are 118° and 47°. What is the third angle, 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. Ari cuts a pizza with two straight cuts that cross. A short cut from the middle splits one angle into 44° and 39°. Angle x is across from that whole angle. What is x?

    83
  2. 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
  3. Kira folds the square corner of a paper for a paper-plane wing. The fold makes complementary angles of 34° and (2x)°. What is x?

    28
  4. 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?

    • Vertical angles: they are equal, and sit across from each other
    • Complementary angles: they add to 90°
    • Supplementary angles: they add to 180°
  5. 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°
  6. 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 = 360
    • 5x + 40 = 90
    • 5x + 40 = 180
    • 5x = 40
  7. 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 = 180
    • x + 25 + 94 = 360
    • x + 25 + 94 = 90
    • x + 25 = 94
  8. Ari draws a line out from the square corner of a birthday-card envelope. It splits the corner into 31° and (3x)°. Which equation finds x?

    • 3x + 31 = 90
    • 3x = 31
    • 3x + 31 = 360
    • 3x + 31 = 180
  9. 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
  10. Milo cuts a birthday cake into three pieces from the center. Two of the angles at the center are 118° and 47°. What is the third angle, x, in degrees?

    195