📐 Part 1: Quadrilateral Knowledge

1. The sum of interior angles in ANY quadrilateral is:

180°

270°

360°

450°

2. Which quadrilaterals have ALL angles equal to 90°? (Tick all that apply)

Square

Rectangle

Rhombus

Parallelogram

3. In a parallelogram, opposite angles are:

Always different

Always equal

Sometimes equal

Always 90°

4. A quadrilateral has angles of 85°, 95°, 85° and one unknown angle. The unknown angle is ______°.

🔢 Part 2: Finding Missing Angles

5. A rectangle has one angle marked as x°. What is the value of x?

x = ______°

6. In a quadrilateral, three angles are 72°, 108° and 95°. Calculate the fourth angle.

Fourth angle = ______°

7. A parallelogram has one angle of 65°. Find ALL four angles.

The four angles are: ______°, ______°, ______°, ______°

8. Challenge: In a quadrilateral, the angles are x°, 2x°, 3x° and 4x°. Find the value of x and all four angles.

x = ______°

The four angles are: ______°, ______°, ______°, ______°

💭 Part 3: Reasoning and Extension

9. Explain why the sum of angles in ANY quadrilateral is always 360°. Use the fact that angles in a triangle sum to 180°.

10. Extension: A trapezium has two parallel sides. If the angles on one side are 110° and 70°, what are the angles on the other side? Explain your reasoning.

11. Advanced Challenge: In a quadrilateral ABCD, angle A = (2y + 10)°, angle B = (3y - 20)°, angle C = (y + 30)° and angle D = (4y - 20)°. Find y and all four angles.

y = ______

Angle A = ______°, Angle B = ______°, Angle C = ______°, Angle D = ______°