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 Luz's quilt patch, a parallelogram CDFG, angle C is (3x + 10)° and angle D, next to it, is (2x + 30)°. What is x?

   28
2. 2.

   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
3. 3.

   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
4. 4.

   In Ren's quilt block, a parallelogram CDFG, angle C is (4x + 6)° and angle F, across from it, is (x + 39)°. What is x?

   11
5. 5.

   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
6. 6.

   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
7. 7.

   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
8. 8.

   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
9. 9.

   Ren's paper banner is a parallelogram with a distance around of 44 cm. One side is 12 cm. How long is the side next to it, in cm?

   10
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