📐 Angles

Right, acute and obtuse — learn all about angles! 🍭

📖 Learn
Types of angles
✏️ Examples
Step-by-step
🔬 Visualiser
Drag to draw angles
🎯 Practice
20 mixed questions

🍰 Angle Fact!

A right angle is exactly 90°. It looks like the corner of a square. There are four right angles in a full turn of 360°. Architects use right angles every day when designing buildings!

📖 Angles

1. What is an Angle?

An angle is the amount of turn between two lines that meet at a point. We measure angles in degrees (°).

Full turn = 360°    Half turn = 180°    Quarter turn = 90°

We use a protractor to measure angles precisely.

2. Three Main Types of Angles

TypeSizeHow to spot it
Right angleExactly 90°Corner of a square — shown with a small square symbol
Acute angleLess than 90°Smaller than a right angle — sharp and pointy
Obtuse angleMore than 90°Bigger than a right angle but less than 180°

3. Straight Line and Full Turn

A straight line is actually a straight angle = 180°.

Angles on a straight line add up to 180°.

a + b = 180°

Angles around a point add up to 360°.

a + b + c + d = 360°

4. Right Angles in Shapes

We mark right angles with a small square. Some shapes have lots of right angles!

ShapeRight angles
Square4
Rectangle4
Triangle0, 1, or none (right-angled triangle has 1)

5. Turns

TurnDegreesRight angles
Quarter turn90°1
Half turn180°2
Three-quarter turn270°3
Full turn360°4

6. Comparing Angles

Without a protractor you can compare angles by looking at them. Use a right angle tester (corner of paper) to check if an angle is right, acute or obtuse.

Smaller than the corner of paper → acute
Same as the corner of paper → right angle
Bigger than the corner of paper → obtuse

✏️ Worked Examples

Example 1 – Identify angle type

What type is a 45° angle?

45° is less than 90°
Answer: Acute (code = 2)

Example 2 – Missing angle on straight line

Two angles on a straight line. One is 60°. Find the other.

Angles on a straight line = 180°
Missing = 180° − 60° = 120°

Example 3 – Missing angle in triangle

A triangle has angles 60° and 50°. Find the third.

Angles in a triangle = 180°
Third = 180° − 60° − 50° = 70°

Example 4 – Right angles in a shape

How many right angles does a rectangle have?

A rectangle has 4 corners
Each corner is a right angle (90°)
Answer: 4

Example 5 – Missing angle, full turn

An angle of 90° is cut from a full turn (360°). Remainder = ?

360° − 90° = 270°

🔬 Angle Drawer

Drag the slider to change the angle. Watch it draw on the canvas and see the type!

Draw an Angle


Straight Line — Missing Angle

Enter one angle on a straight line:



Triangle — Missing Angle

Exercise 1 – Name the Angle Type

Enter: 1 = right angle, 2 = acute, 3 = obtuse

Exercise 2 – Missing Angle on Straight Line

Angles on a straight line add up to 180°. Find the missing angle.

Exercise 3 – Missing Angle in Triangle

Angles in a triangle add up to 180°. Find the missing angle.

Exercise 4 – Right Angles in Shapes

How many right angles does each shape have?

Exercise 5 – Missing Angle in Full Turn (360°)

Angles around a point add up to 360°. Find the missing angle.

🎯 Practice – 20 Questions

First 10: enter 1=right, 2=acute, 3=obtuse. Last 10: find the missing angle on a straight line.

🏆 Challenge – 8 Questions

Name the type of each angle: enter 1=right, 2=acute, 3=obtuse.