Given, Linear pair of angles are formed when two lines intersect each other at a single point. The sum of angles of a linear pair is always equal to 180 ° . Now, ∠ A B D + ∠ D B E + ∠ E B C = 180 ° ⇒ 3 a + 2 a + 3 a = 180 ° ⇒ 8 a = 180 ° ⇒ a = 22 . 5 ° Thus, the value of a is 22 . 5 ° .

Find the magnitude of an angle, which is 2 3 of its supplement.

Let one angle is x . Then, its supplementary angle is ( 180 ° − x ) . According to the question, we have One angle = 2 3 its supplement ⇒ x = 2 3 180 ° - x ⇒ 3 x = 2 × 180 ° - 2 x ⇒ 3 x + 2 x = 2 × 180 ° ⇒ x = 2 × 180 ° 5 ⇒ x = 72 ° Hence, the magnitude of an angle which is 2 3 of its supplement is 72 °

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Excellence in Mathematics>Chapter 6 - Understanding Shapes>ASSIGNMENT 6.1

Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Understanding Shapes, Exercise 1: ASSIGNMENT 6.1

Author:Dr. Sanjeev Verma & R.K. Tyagi

Dr. Sanjeev Verma Mathematics Solutions for Exercise - Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Understanding Shapes, Exercise 1: ASSIGNMENT 6.1

Attempt the practice questions on Chapter 6: Understanding Shapes, Exercise 1: ASSIGNMENT 6.1 with hints and solutions to strengthen your understanding. Excellence in Mathematics solutions are prepared by Experienced Embibe Experts.