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CBSE Class 9 Answered

The sides ML and ON of a quadrilateral are produced as shown in the figure. Prove that x + y = a + b
Asked by Topperlearning User | 16 Aug, 2017, 02:20: PM
answered-by-expert Expert Answer
L + b = 180o                                    (linear pair)
L = 180o – b
Also N + a = 180o
N = 180o – a
L + M + N + O = 360o       (sum of the angles of a quadrilateral)
  (180o – b) + x + (180o – a) + y = 360o
   x + y = a + b
Answered by | 16 Aug, 2017, 04:20: PM

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