ICSE Class 9 Answered
Prove that bisectors of any two adjacent angles of a parallelogram are at right angles
Asked by janhavipurswani | 21 Nov, 2018, 05:02: PM
Expert Answer
In the figure, Let ABCD is a paralellogram.
DAB + CBA = 180° ......................(1)
OAB = (1/2)DAB ......................(2)
OBA = (1/2)CBA ......................(3)
by adding (2) and (3) and using eqn.(1) , OAB + OBA = (1/2) ( DAB + CBA ) = 90°
Hence AOB = 180-( OAB + OBA ) = 90°
Answered by Thiyagarajan K | 22 Nov, 2018, 04:24: AM
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