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. 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?

  3. Tala tapes two streamers out from the square corner of the snack table, and nobody trips. They split the corner into 14°, x and 47°. What is x, in degrees?

  4. Bo's kite sticks cross, and the tail string ties on at the crossing. It splits one angle into 52° and 61°. Angle x is across from that whole angle. What is x, in degrees?

  5. 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?

    • Complementary angles: they add to 90°
    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal, and sit across from each other
  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?

    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal
    • 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 = 90
    • x + 25 + 94 = 180
    • x + 25 = 94
    • x + 25 + 94 = 360
  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 = 180
    • 3x + 31 = 360
  9. 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
  10. 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?

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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. 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
  3. Tala tapes two streamers out from the square corner of the snack table, and nobody trips. They split the corner into 14°, x and 47°. What is x, in degrees?

    29
  4. Bo's kite sticks cross, and the tail string ties on at the crossing. It splits one angle into 52° and 61°. Angle x is across from that whole angle. What is x, in degrees?

    113
  5. 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?

    • Complementary angles: they add to 90°
    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal, and sit across from each other
  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?

    • Supplementary angles: they add to 180°
    • Vertical angles: they are equal
    • 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 = 90
    • x + 25 + 94 = 180
    • x + 25 = 94
    • x + 25 + 94 = 360
  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 = 180
    • 3x + 31 = 360
  9. 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
  10. 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