Angle Explorations Worksheet

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📐 Part 1: Angle Rules

1. Complete these important angle rules by filling in the blanks:

Angles at a Point: All angles around a point add up to _______ degrees.

Angles on a Straight Line: All angles on a straight line add up to _______ degrees.

Vertically Opposite Angles: When two lines cross, vertically opposite angles are _____________.

2. Which angle rule would you use in each situation?

Two angles meeting at 90° and 90° on a straight line:

Angles at a Point

Angles on a Straight Line

Vertically Opposite Angles

Four angles meeting at the centre of a clock face:

Angles at a Point

Angles on a Straight Line

Vertically Opposite Angles

🔍 Part 2: Finding Missing Angles

3. Find the missing angle. Show your working:

Three angles at a point: ∠A = 120°, ∠B = 150°, ∠C = ?

∠C = _______°

4. Find the missing angle. Show your working:

Two angles on a straight line: ∠D = 75°, ∠E = ?

∠E = _______°

5. Two lines cross to form four angles. If one angle is 65°, what are the other three angles?

The three angles are: _______°, _______°, and _______°

6. Problem solving: At a point, there are four angles. Three of them are 85°, 95°, and 110°. What is the fourth angle?

The fourth angle is _______°

✏️ Part 3: Angle Reasoning

7. Draw a diagram showing two straight lines crossing each other. Label all four angles as ∠A, ∠B, ∠C, and ∠D.

8. Using your diagram from question 7, explain why vertically opposite angles are equal:

9. Real-world connection: Describe a place in your classroom or home where you can see angles at a point. Explain why the angles add up to 360°.

10. Challenge: If five angles meet at a point and four of them are 60°, 80°, 70°, and 90°, what is the fifth angle? Show your reasoning.

The fifth angle is _______°

Angle Explorations Worksheet

Angle Explorations Worksheet

📐 Part 1: Angle Rules

🔍 Part 2: Finding Missing Angles

✏️ Part 3: Angle Reasoning

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