R
Rishtaara
Mathematics · Class 7

Lines and Angles

Complementary, supplementary, adjacent, and vertically opposite angles.

4 sections15–25 min read6 MCQs · 2 examples

Chapter Overview

Study pairs of angles — complementary, supplementary, adjacent, linear pair, vertically opposite — and angles formed when a transversal cuts parallel lines.

Angle Pairs

  • Complementary: sum 90°
  • Supplementary: sum 180°
  • Linear pair: adjacent + supplementary on a line
  • Vertically opposite angles are equal

Transversal on Parallel Lines

  • Corresponding angles are equal
  • Alternate interior angles are equal
  • Co-interior angles sum to 180°

Types of Angles

  • Acute < 90°; Right = 90°; Obtuse > 90°
  • Reflex: between 180° and 360°

Solved Examples

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

Example 1: Complementary

One angle is 35°. Find its complement.

  1. 1Complement = 90° − 35°

Answer

55°

Example 2: Transversal

Two parallel lines cut by transversal. If one corresponding angle is 72°, find its pair.

  1. 1Corresponding angles equal

Answer

72°

Key Points to Remember

  • Linear pair always sums to 180°
  • Vertically opposite angles equal
  • Parallel line theorems need parallel condition

Exam Tips

  • State angle relationship before calculating
  • Draw diagram for transversal problems

Practice MCQs — Lines and Angles

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

Question 1 of 6Score: 0/0

Supplement of 110° is: