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. Two bike paths leave a straight trail at the same point near Pia's school. Along the trail the angles are 33°, x and 41°. 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. 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?

  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?

    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
    • Vertical angles: they are equal
  6. Pia cuts a pizza with two straight cuts that cross in the middle (extra cheese everywhere). Angle x is across from a 76° 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°
  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
    • x + 25 + 94 = 360
    • x + 25 + 94 = 90
    • x + 25 + 94 = 180
  8. Bo's tent poles cross at the top like an X. The (4x)° angle is across from a 96° angle. Which equation finds x?

    • 4x + 96 = 90
    • 4x + 96 = 360
    • 4x = 96
    • 4x + 96 = 180
  9. Kira cuts a round pizza into three slices from the center (one slice is clearly the biggest). Two slice angles are 85° and 70°. What is the third angle, x, in degrees?

  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. Two bike paths leave a straight trail at the same point near Pia's school. Along the trail the angles are 33°, x and 41°. What is x, in degrees?

    106
  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. 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
  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?

    • Supplementary angles: they add to 180°
    • Complementary angles: they add to 90°
    • Vertical angles: they are equal
  6. Pia cuts a pizza with two straight cuts that cross in the middle (extra cheese everywhere). Angle x is across from a 76° 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°
  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
    • x + 25 + 94 = 360
    • x + 25 + 94 = 90
    • x + 25 + 94 = 180
  8. Bo's tent poles cross at the top like an X. The (4x)° angle is across from a 96° angle. Which equation finds x?

    • 4x + 96 = 90
    • 4x + 96 = 360
    • 4x = 96
    • 4x + 96 = 180
  9. Kira cuts a round pizza into three slices from the center (one slice is clearly the biggest). Two slice angles are 85° and 70°. What is the third angle, x, in degrees?

    205
  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