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Quadrilateral Exterior Angles Worksheet

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Quadrilateral Exterior Angles Worksheet

Quadrilateral with exterior angles

📐 Part 1: Basic Exterior Angles

Remember: The sum of all exterior angles of any quadrilateral is always 360°

1. Find the missing exterior angle:

Rectangle with exterior angles: 90°, 90°, 90°, and x°

x = _____°

2. Calculate the unknown exterior angle:

Square with three exterior angles marked as 90° each, one angle marked as y°

y = _____°

3. Find the missing exterior angle:

Quadrilateral with exterior angles: 85°, 95°, 110°, and z°

z = _____°

4. What is the value of the unknown exterior angle?

Parallelogram with exterior angles: 120°, 60°, 120°, and a°

a = _____°

🔍 Part 2: Multiple Unknown Angles

5. Find both missing exterior angles if they are equal:

Rhombus with exterior angles: 140°, b°, 140°, and b°

b = _____°

6. Calculate the two unknown exterior angles:

Quadrilateral with exterior angles: 75°, c°, 105°, and d°, where c = d

c = _____° and d = _____°

7. Find the missing angles:

Trapezium with exterior angles: 100°, e°, 80°, and f°, where e = 2f

e = _____° and f = _____°

8. Calculate the unknown exterior angles:

Quadrilateral with exterior angles: g°, (g + 20)°, (g - 10)°, and 150°

g = _____°

🎯 Part 3: Challenge Problems

9. A quadrilateral has four exterior angles. Three of them are in the ratio 2:3:4, and the fourth angle is 90°. Find all four exterior angles.

The four angles are: _____°, _____°, _____°, and _____°

10. The exterior angles of a quadrilateral are (x + 30)°, (2x - 10)°, (x + 40)°, and (2x + 20)°. Find the value of x and all four exterior angles.

x = _____

The four exterior angles are: _____°, _____°, _____°, and _____°

11. Explain in your own words why the sum of exterior angles of any quadrilateral is always 360°.

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