R
Rishtaara
Mathematics · Class 5

Shapes and Angles

Learn Shapes and Angles with notes, examples, and practice questions.

3 sections15–25 min read3 MCQs · 1 examples

Chapter Overview

A right angle is a quarter turn and measures 90°; angle size depends on the opening between its arms.

Shapes and Angles introduces turns, angle size, and classification of angles. Learners identify right, acute, obtuse, and straight angles and understand that arm length does not determine angle size.

Turns and Angle Types

  • A full turn is 360°, a half turn is 180°, and a quarter turn is 90°.
  • An acute angle is smaller than 90°.
  • An obtuse angle is larger than 90° but smaller than 180°.
  • A straight angle measures 180°.

Angles in Shapes

  • A square and rectangle each have four right angles.
  • Triangles can contain acute, right, or obtuse angles.
  • Use the corner of paper as a right-angle checker.
  • Changing arm lengths without changing the opening keeps the angle equal.

Solved Examples

Step-by-step solutions — read each step before checking the final answer.

Classify an Angle

An angle is greater than a right angle but smaller than a straight angle. What type is it?

  1. 1A right angle is 90°.
  2. 2A straight angle is 180°.
  3. 3An angle between 90° and 180° is obtuse.

Answer

An obtuse angle

Key Points to Remember

  • Angles measure turning or opening
  • Right angle equals 90°
  • Acute is less than 90°
  • Obtuse lies between 90° and 180°

Exam Tips

  • Compare with a right-angle corner
  • Look at the opening, not arm length
  • Name the vertex when describing a drawn angle

Practice MCQs — Shapes and Angles

Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.

Question 1 of 3Score: 0/0

Which turn makes a straight angle?