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CBSE Class 9 Answered

In figure, if AB||DE, ABC = 75o and CDE = 145o, then find BCD.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Construction: Draw PCQ || to AB and DE.

DCQ + CDE = 180o (DE || CQ, co-interior angles are supplementary)

QCD = 180o -145o = 35o

BCP + CBA = 180o ( AB||PQ, co-interior angles are supplementary)

BCP =180o - 75o = 105o

BCP + BCD + DCQ = 180o (Angles in straight line)

BCD = 180o - 105o - 35o = 40o

Answered by | 04 Jun, 2014, 03:23: PM

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