Observe the given figure, Is A B ∥ D E ? Give reasons.

Given, As the sum of alternate interior pair of angles are equal, the lines are parallel. From the figure, ∠ A B D = 32 ° + 28 ° = 60 ° ∠ D B E = 60 ° These two angles are alternate interior angles which are equal. A transversal intersection with two lines produces various types of angles in pairs, such as consecutive interior angles, corresponding angles and alternate angles which are equal. Therefore, A B ∥ D E .

Observe the given figure, Is B D ∥ E F ? Give reasons.

Given, As the sum of alternate interior pair of angles is same i.e. ( 60 ° ) . Which are 32 ° + 28 ° = 60 ° So, ∠ A B D and ∠ B D E are equal. Therefore, we can say that B D ∥ E F .

E M B I B E

I Did It>Chapter 7 - Lines and Angles>Worksheet

Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Lines and Angles, Exercise 8: Worksheet

Author:Vaishali Bhatia & Rupesh Pathak

Vaishali Bhatia Mathematics Solutions for Exercise - Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Lines and Angles, Exercise 8: Worksheet

Attempt the practice questions on Chapter 7: Lines and Angles, Exercise 8: Worksheet with hints and solutions to strengthen your understanding. I Did It solutions are prepared by Experienced Embibe Experts.

Questions from Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Lines and Angles, Exercise 8: Worksheet with Hints & Solutions

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I Did It>Chapter 7 - Lines and Angles>Worksheet>Q 3

Saurabh was drawing a figure in his maths notebook. After drawing, he noticed that the lines were not equidistant everywhere and he then marked a few angles. Are the angles marked by him correct? Why?

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