Check sibling questions

Ex 6.2, 2 - In figure, if AB || CD, CD || EF and y:z = 3:7 - Parallel lines and traversal - Problems

Ex 6.2, 2 - Chapter 6 Class 9 Lines and Angles - Part 2
Ex 6.2, 2 - Chapter 6 Class 9 Lines and Angles - Part 3

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Transcript

Ex 6.2, 2 In figure, if AB || CD, CD || EF and y: z= 3 : 7, find x. It is given that / = 3/7 y = 3/7 z Let CON = p Now CD || EF So, p = z Also, y + p = 180 y + z = 180 y + z = 180 Putting y = 3/7 z 3/7 z + z = 180 (3 + 7 )/7 = 180 10 /7 = 180 z = 7/10 180 z = 126 Now, y = 3/7 z Putting z = 126 y = 3/7 126 y = 54 Also, AB || CD & MN is transversal We know that sum of interior angles on the same side of transversal is supplementary x + y = 180 x + 54 = 180 x = 180 54 x = 126 Alternatively, AB || EF & MN is transversal x = z x = 126

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.