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Angles in Parallelograms

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Angles in Parallelograms

Parallelogram with angles marked

📐 Part 1: Finding Missing Angles in Parallelograms

Remember: In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).

1. In parallelogram PQRS, angle P = 65°. Find the other three angles.

Angle Q = _______°    Angle R = _______°    Angle S = _______°

2. In parallelogram WXYZ, angle W = 110°. Find the other three angles.

Angle X = _______°    Angle Y = _______°    Angle Z = _______°

3. In parallelogram ABCD, angle A = 85°. Find the other three angles.

Angle B = _______°    Angle C = _______°    Angle D = _______°

4. In parallelogram EFGH, angle E = 125°. Find the other three angles.

Angle F = _______°    Angle G = _______°    Angle H = _______°

5. In parallelogram JKLM, angle J = 75°. Find the other three angles.

Angle K = _______°    Angle L = _______°    Angle M = _______°

6. In parallelogram STUV, angle S = 98°. Find the other three angles.

Angle T = _______°    Angle U = _______°    Angle V = _______°

🔷 Part 2: Finding Missing Angles in Rhombuses

Remember: A rhombus follows the same angle rules as a parallelogram.

7. In rhombus ABCD, angle A = 60°. Find the other three angles.

Angle B = _______°    Angle C = _______°    Angle D = _______°

8. In rhombus PQRS, angle P = 115°. Find the other three angles.

Angle Q = _______°    Angle R = _______°    Angle S = _______°

9. In rhombus WXYZ, angle W = 72°. Find the other three angles.

Angle X = _______°    Angle Y = _______°    Angle Z = _______°

10. In rhombus EFGH, angle E = 135°. Find the other three angles.

Angle F = _______°    Angle G = _______°    Angle H = _______°

11. In rhombus JKLM, angle J = 88°. Find the other three angles.

Angle K = _______°    Angle L = _______°    Angle M = _______°

12. In rhombus NOPQ, angle N = 105°. Find the other three angles.

Angle O = _______°    Angle P = _______°    Angle Q = _______°

📝 Part 3: Challenge Questions

13. Parallelogram ABCD has angle ABC = 70°. Find angles BCD, CDA, and DAB.

Angle BCD = _______°    Angle CDA = _______°    Angle DAB = _______°

14. Rhombus PQRS has angle QPR = 45° (this is angle QPS). If the rhombus has angle PQR = 120°, find angles QRS, RSP, and SPQ.

Angle QRS = _______°    Angle RSP = _______°    Angle SPQ = _______°

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