Example 3 - Chapter 6 Class 9 Lines and Angles
Last updated at Dec. 13, 2024 by Teachoo
Last updated at Dec. 13, 2024 by Teachoo
Example 3 In figure, OP, OQ, OR and OS are four rays. Prove that ∠ POQ + ∠ QOR + ∠ SOR + ∠ POS = 360°. Lets extend ray PQ backwards till T Now, ∠TOP + ∠POQ = 180° Also, ∠TOS + ∠ SOR + ∠ QOR = 180° Adding (1) & (2) ∠ TOP + ∠ POQ + ∠ TOS + ∠ SOR + ∠ QOR = 360° But ∠ TOP + ∠ TOS = ∠ POS ∠ POQ + ∠ QOR + ∠ SOR + ∠ POS = 360 ° ∠ POQ + ∠ QOR + ∠ SOR + ∠ POS = 360 ° Hence Proved.
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo