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

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Kira draws a line out from the square corner of an envelope for a secret-club stamp. It splits the corner into complementary angles, 28° and (4x + 10)°. What is x?

  2. Milo's scissor blades cross like an X. The (4x + 12)° and 112° angles are vertical angles, across from each other. What is x?

  3. Ren cuts a pizza with three straight cuts through the middle, making six slices. Two angles are marked 52° and 67°, as the sketch shows. What is angle x, in degrees?

  4. Ari opens the music room door against a straight wall. The angles on each side of the door are (2x)° and (3x + 20)°. How big is the (3x + 20)° angle, in degrees?

  5. Esme draws a line out from the square corner of a poster. It splits the corner into (2x)° and (3x + 5)°. How big is the (3x + 5)° angle, in degrees?

  6. Jun tapes a paper snowflake chain out from the square corner of a window. It splits the corner into (4x)° and (2x + 6)°. How big is the (2x + 6)° angle, in degrees?

  7. Kira sets an open book flat, and two pages stand up from the spine. Along the covers the angles are 35°, (3x)° and 64°. Which equation finds x?

    • 3x = 35 + 64
    • 35 + 3x + 64 = 180
    • 35 + 3x + 64 = 90
    • 35 + 3x + 64 = 360
  8. Milo stitches two lines out from the square corner of a quilt square. They split the corner into 21°, (2x)° and 37°. Which equation finds x?

    • 2x = 21 + 37
    • 21 + 2x + 37 = 90
    • 21 + 2x + 37 = 180
    • 21 + 2x + 37 = 360
  9. Noah cuts two lines out from the square corner of a paper square for a pinwheel. They split the corner into 26°, (x + 5)° and 33°. Which equation finds x?

    • 26 + x + 5 + 33 = 90
    • x + 5 = 26 + 33
    • 26 + x + 5 + 33 = 360
    • 26 + x + 5 + 33 = 180
  10. Ari's toy sailboat has a triangle sail. The sail's angles are (2x)°, (2x + 6)° and 74°. What is x?

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

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

  1. Kira draws a line out from the square corner of an envelope for a secret-club stamp. It splits the corner into complementary angles, 28° and (4x + 10)°. What is x?

    13
  2. Milo's scissor blades cross like an X. The (4x + 12)° and 112° angles are vertical angles, across from each other. What is x?

    25
  3. Ren cuts a pizza with three straight cuts through the middle, making six slices. Two angles are marked 52° and 67°, as the sketch shows. What is angle x, in degrees?

    61
  4. Ari opens the music room door against a straight wall. The angles on each side of the door are (2x)° and (3x + 20)°. How big is the (3x + 20)° angle, in degrees?

    116
  5. Esme draws a line out from the square corner of a poster. It splits the corner into (2x)° and (3x + 5)°. How big is the (3x + 5)° angle, in degrees?

    56
  6. Jun tapes a paper snowflake chain out from the square corner of a window. It splits the corner into (4x)° and (2x + 6)°. How big is the (2x + 6)° angle, in degrees?

    34
  7. Kira sets an open book flat, and two pages stand up from the spine. Along the covers the angles are 35°, (3x)° and 64°. Which equation finds x?

    • 3x = 35 + 64
    • 35 + 3x + 64 = 180
    • 35 + 3x + 64 = 90
    • 35 + 3x + 64 = 360
  8. Milo stitches two lines out from the square corner of a quilt square. They split the corner into 21°, (2x)° and 37°. Which equation finds x?

    • 2x = 21 + 37
    • 21 + 2x + 37 = 90
    • 21 + 2x + 37 = 180
    • 21 + 2x + 37 = 360
  9. Noah cuts two lines out from the square corner of a paper square for a pinwheel. They split the corner into 26°, (x + 5)° and 33°. Which equation finds x?

    • 26 + x + 5 + 33 = 90
    • x + 5 = 26 + 33
    • 26 + x + 5 + 33 = 360
    • 26 + x + 5 + 33 = 180
  10. Ari's toy sailboat has a triangle sail. The sail's angles are (2x)°, (2x + 6)° and 74°. What is x?

    25