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 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
2. 2.

   In Pia's door panel, a parallelogram CDFG, angle C is (7x + 5)° and angle D, next to it, is (x + 15)°. What is x?

   20
3. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   Esme's paper banner is a trapezoid CDFG with CD parallel to GF. Angle C is 54°. What is angle G, on the same leg as angle C, in degrees?

   126
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 Kira's quilt diamond, a rhombus CDFG, splits angle C into two equal angles of 28° each. What is angle D, next to angle C, in degrees?

   124
9. 9.

   Pia's window pane is a parallelogram with a distance around of 30 cm. One side is 7 cm. How long is the side next to it, in cm?

   8
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