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Quadrilateral Exterior Angles Practice

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Quadrilateral Exterior Angles Practice

Quadrilateral with exterior angles marked

📐 Part 1: Multiple Choice

1. What is the sum of all exterior angles of any quadrilateral?

180°

270°

360°

540°

2. In a rectangle, each exterior angle measures:

45°

60°

90°

120°

3. If three exterior angles of a quadrilateral are 85°, 95°, and 75°, what is the fourth exterior angle?

85°

95°

105°

115°

4. Which statement about exterior angles is correct?

An exterior angle and its adjacent interior angle are supplementary

All exterior angles of a quadrilateral are equal

Exterior angles are always acute

Exterior angles depend on the side lengths

🧮 Part 2: Problem Solving

5. A quadrilateral has exterior angles of 72°, 108°, and 95°. Calculate the fourth exterior angle.

Answer: ___________

6. In a parallelogram, two adjacent exterior angles are 65° and 115°. Find the other two exterior angles.

The other two exterior angles are: ___________ and ___________

7. If an interior angle of a quadrilateral is 135°, what is its corresponding exterior angle?

Exterior angle = ___________

8. A rhombus has one exterior angle of 130°. Find all four exterior angles.

All four exterior angles: ___________, ___________, ___________, ___________

📝 Part 3: Applied Understanding

9. Draw a quadrilateral and mark all four exterior angles. Label each angle with a different variable (a, b, c, d).

Write the equation that shows the relationship between these angles: ___________________

10. Explain why the sum of exterior angles of any quadrilateral is always 360°.
11. A quadrilateral has interior angles of 80°, 100°, 85°, and 95°. Calculate all four exterior angles and verify they sum to 360°.

Exterior angles: _____, _____, _____, _____

Sum check: _____ + _____ + _____ + _____ = _____

12. True or False: In any quadrilateral, if you know three exterior angles, you can always find the fourth. Explain your reasoning.

True

False

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