[Class 7] In the figures below, what angles do x and y stand for - Figure it out - Page 123, 124, 125

part 2 - Question 3 (a) - Figure it out - Page 123, 124, 125 - Chapter 5 Class 7 - Parallel and Intersecting Lines (Ganita Prakash) - Class 7 (Ganita Prakash & Old NCERT)
part 3 - Question 3 (a) - Figure it out - Page 123, 124, 125 - Chapter 5 Class 7 - Parallel and Intersecting Lines (Ganita Prakash) - Class 7 (Ganita Prakash & Old NCERT)

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Transcript

Question 3 (a) In the figures below, what angles do x and y stand for? First of all, angle marked 65° is corrected in the figure In NCERT Book, the marking is wrong Now, from parallel red lines and blue transversal By alternate interior angles are equal ∠ y = Red angle Since ∠ x = Green angle ∠ x = 25° Now, On Red line, we do linear pair Red angle + Green angle = 180° Red angle + 25° = 180° Red angle = 180° – 25° Red angle = 155° Also, ∠ y = Red angle ∠ y = 155° And, vertically opposite angles are also equal ∠ x = Green angle Now, taking red lines as parallel and yellow line as transversal The 90° angle and (65° + green angle) are corresponding angles So, they must be equal 90° = 65° + Green Angle 90° – 65° = Green angle 25° = Green angle Green angle = 25°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo