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Parallelogram and Rhombus Angles

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Parallelogram and Rhombus Angles

Parallelogram and rhombus shapes

📐 Part 1: Finding Angles in Parallelograms

Remember: Opposite angles in a parallelogram are equal. Adjacent angles are supplementary (add to 180°).

1. In this parallelogram, one angle is 65°. Find the other three angles.

Parallelogram with one angle marked 65°

The other angles are: ______°, ______°, and ______°

2. In this parallelogram, one angle is 110°. Find the other three angles.

Parallelogram with one angle marked 110°

The other angles are: ______°, ______°, and ______°

3. In this parallelogram, one angle is 45°. Find the other three angles.

Parallelogram with one angle marked 45°

The other angles are: ______°, ______°, and ______°

4. In this parallelogram, one angle is 135°. Find the other three angles.

Parallelogram with one angle marked 135°

The other angles are: ______°, ______°, and ______°

5. In this parallelogram, one angle is 80°. Find the other three angles.

Parallelogram with one angle marked 80°

The other angles are: ______°, ______°, and ______°

6. In this parallelogram, one angle is 125°. Find the other three angles.

Parallelogram with one angle marked 125°

The other angles are: ______°, ______°, and ______°

💎 Part 2: Finding Angles in Rhombuses

Remember: A rhombus has the same angle properties as a parallelogram.

7. In this rhombus, one angle is 60°. Find the other three angles.

Rhombus with one angle marked 60°

The other angles are: ______°, ______°, and ______°

8. In this rhombus, one angle is 120°. Find the other three angles.

Rhombus with one angle marked 120°

The other angles are: ______°, ______°, and ______°

9. In this rhombus, one angle is 85°. Find the other three angles.

Rhombus with one angle marked 85°

The other angles are: ______°, ______°, and ______°

10. In this rhombus, one angle is 40°. Find the other three angles.

Rhombus with one angle marked 40°

The other angles are: ______°, ______°, and ______°

11. In this rhombus, one angle is 150°. Find the other three angles.

Rhombus with one angle marked 150°

The other angles are: ______°, ______°, and ______°

12. In this rhombus, one angle is 75°. Find the other three angles.

Rhombus with one angle marked 75°

The other angles are: ______°, ______°, and ______°

✏️ Part 3: Written Problems

13. Parallelogram ABCD has angle ABC = 70°. Find the measures of angles BCD, CDA, and DAB.
14. Rhombus PQRS has angle PQR = 95°. Find the measures of angles QRS, RSP, and SPQ.

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