Niharika took two angles 130 ° and 50 ° and tried to check whether they form a linear pair. She made the following figure. Can we say that these two angles do not form a linear pair? If not, what is Niharika's mistake?

We are given to check whether ∠ A O B and ∠ D O C form a linear pair of angles. We know that the linear pair of angles are always adjacent and their sum is 180 ° . Now, ∠ A O B + ∠ D O C = 130 ° + 50 ° = 180 ° But, ∠ A O B and ∠ D O C are not adjacent angles as they do not have a common arm. Therefore, ∠ A O B and ∠ D O C do not form a linear pair.

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Mathematics 7>Chapter 4 - Lines and Angles>Exercise

Andhra Pradesh Board Solutions for Chapter: Lines and Angles, Exercise 5: Do This

Author:Andhra Pradesh Board

Andhra Pradesh Board Mathematics Solutions for Exercise - Andhra Pradesh Board Solutions for Chapter: Lines and Angles, Exercise 5: Do This

Attempt the practice questions on Chapter 4: Lines and Angles, Exercise 5: Do This with hints and solutions to strengthen your understanding. Mathematics 7 solutions are prepared by Experienced Embibe Experts.