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. 1.

   On Jun's trail map, a side path leaves a straight trail. The angles on each side of the path are 52° and (2x + 14)°. What is x?

   57
2. 2.

   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?

   18
3. 3.

   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?

   29
4. 4.

   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
5. 5.

   Three straight streets meet at one point on Tala's town map. Two angles are marked 48° and 73°, as the sketch shows. What is angle x, in degrees?

   59
6. 6.

   Bo's desk lamp arm leans on the flat desk. The angles on each side of the arm are (3x)° and (2x + 15)°. How big is the (2x + 15)° angle, in degrees?

   81
7. 7.

   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 = 180
   • 21 + 2x + 37 = 90
   • 21 + 2x + 37 = 360
8. 8.

   Pia cuts a cake into four pieces from the center. The angles at the center are 100°, 110°, x° and (2x)°. What is x?

   50
9. 9.

   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?

   80
10. 10.

    The front of Zee's tent is a triangle, with one flap that never stays shut. Its angles are (2x)°, (3x + 10)° and 50°. What is x?

    24