Find missing angles (straight line, corner, crossing lines)
Grade 7 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
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?
Luz tapes a streamer out from the square corner of the art table. It splits the corner into 19° and (3x + 17)°. What is x?
Noah's kite sticks cross, and the kite swoops like a happy bird. The (2x + 9)° angle is across from the 67° angle. What is x?
Pia's tent poles cross at the top. The (6x + 18)° angle is across from the 138° angle. What is x?
Zee draws a slightly lopsided snowflake from three straight lines crossing at the center. Two angles are marked 57° and 69°, as the sketch shows. What is angle x, in degrees?
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?
- 35 + 3x + 64 = 90
- 3x = 35 + 64
- 35 + 3x + 64 = 180
- 35 + 3x + 64 = 360
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?
- 21 + 2x + 37 = 90
- 21 + 2x + 37 = 180
- 21 + 2x + 37 = 360
- 2x = 21 + 37
Four spokes on Tala's bike wheel are painted. The angles between them around the hub are 75°, 45°, x° and (2x)°. What is x?
Ari's toy sailboat has a triangle sail. The sail's angles are (2x)°, (2x + 6)° and 74°. What is x?
Bo cuts a sandwich into triangles for a picnic. One triangle has angles of (3x)°, (4x + 5)° and 35°. What is x?