Geometry
Lesson 2 of 4 7 min +55 XP

Angles & Lines

Classify angles by how far they turn.

What you'll learn

  • Classify acute, right, and obtuse angles
  • Know a right angle is 90°
  • Recognize a straight angle is 180°
Hands on the clock

The clock's hands sweep out angles all day: at 3 o'clock they make a square 90° corner, at 6 o'clock a straight 180° line. Classifying angles by how far they turn is just reading how open those hands are.

Measuring a turn

An angle measures the turn between two rays meeting at a point. Acute angles are less than 90°, a right angle is exactly 90°, obtuse angles are between 90° and 180°, and a straight angle is 180°.

Simulation · Angle explorer
60°

60° — acute

Drag the angle open and closed and watch its name change at 90° and 180°.

Lab · Name that angle
  1. Open the angle to 45° — is it acute, right, or obtuse?
  2. Set it to exactly 90°.
  3. Push past 90° toward 150°.

What you should see: 45° is acute, 90° is a right angle, and 150° is obtuse. The label updates as you cross each threshold.

Knowledge Check

+15 XP / correct

1. A 120° angle is…

2. A right angle measures…