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

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Ari leans a ladder on the flat ground to rescue a kite from a tree. The ladder makes a 68° angle with the ground. What is angle x on the other side, in degrees?

   112
2. 2.

   Bo props the classroom door open for a breeze, and one curious bee flies in. The door makes a 122° angle with the straight wall. What is angle x on the other side, in degrees?

   58
3. 3.

   Luz draws a line from the square corner of a sheet of paper for a fold-it-yourself project. One part of the corner is 58°. What is the other part, angle x, in degrees?

   32
4. 4.

   Pia opens a pair of craft scissors, and the blades cross like an X. One angle between the blades is 42°. What is angle x, next to it, in degrees?

   138
5. 5.

   Ren ties two straight kite sticks so they cross. One angle between the sticks is 103°. What is angle x, next to it on the same stick, in degrees?

   77
6. 6.

   On Tala's town map, two straight streets cross by the library. One angle at the crossing is 64°. What is angle x, next to it along the same street, in degrees?

   116
7. 7.

   Ari lays a ribbon out from the square corner of the party table. The ribbon splits the corner into a 36° angle and angle x. What kind of angle pair are they?

   • Supplementary angles: they add to 180°
   • Vertical angles: they are equal
   • Complementary angles: they add to 90°
8. 8.

   Bo's ladder leans on flat ground by the apple tree. The angles on each side of the ladder are 72° and x. What kind of angle pair are they?

   • Vertical angles: they are equal
   • Complementary angles: they add to 90°
   • Supplementary angles: they add to 180°
9. 9.

   Esme cuts a straight line from the square corner of a paper square for a pinwheel. It splits the corner into a 16° angle and angle x. What kind of angle pair are they?

   • Complementary angles: they add to 90°
   • Vertical angles: they are equal
   • Supplementary angles: they add to 180°
10. 10.

    Milo's safety scissors cross like an X while cutting out a paper crown. Angle x is across from a 47° angle. Which equation finds x?

    • x + 47 = 90
    • x + 47 = 360
    • x + 47 = 180
    • x = 47