Quadrilaterals: sides, angles and diagonals

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   In Milo's window pane, a parallelogram CDFG, angle C is (x + 40)° and angle D, next to it, is (4x + 20)°. What is x?

   24
2. 2.

   In Noah's paper banner, a parallelogram CDFG, angle C is (2x + 18)° and angle D, next to it, is (x + 30)°. What is x?

   44
3. 3.

   In Tala's window frame, a parallelogram CDFG, angle C is (3x + 12)° and angle F, across from it, is (x + 28)°. What is x?

   8
4. 4.

   In Zee's paper card, a parallelogram CDFG, angle C is (3x + 20)° and angle F, across from it, is (x + 50)°. What is x?

   15
5. 5.

   Ari's ramp side is a trapezoid CDFG with CD parallel to GF. Angle C is 66°. What is angle G, on the same leg as angle C, in degrees?

   114
6. 6.

   Bo's window pane is a trapezoid CDFG with CD parallel to GF. Angle C is 109°. What is angle G, on the same leg as angle C, in degrees?

   71
7. 7.

   Jun's door panel is a trapezoid CDFG with CD parallel to GF. Angle C is 97°. What is angle G, on the same leg as angle C, in degrees?

   83
8. 8.

   Diagonal CF of Luz's quilt diamond, a rhombus CDFG, splits angle C into two equal angles of 35° each. What is angle D, next to angle C, in degrees?

   110
9. 9.

   Diagonal CF of Milo's diamond window pane, a rhombus CDFG, splits angle C into two equal angles of 41° each. What is angle D, next to angle C, in degrees?

   98
10. 10.

    Tala's door panel is a parallelogram with a distance around of 36 cm. One side is 5 cm. How long is the side next to it, in cm?

    13