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CBSE Class 9 Answered

The diagonal of a rectangle ABCD intersect at O. iff BOC
= 44 find OAB.
Asked by Yash | 05 Nov, 2017, 05:57: PM
answered-by-expert Expert Answer
Parallelogram Properties:
 
begin mathsize 16px style We space have comma angle BOC plus angle BOA equals 180 degree space space space space space space left parenthesis Linear space Pair right parenthesis rightwards double arrow 44 degree plus angle BOA equals 180 degree rightwards double arrow angle BOA equals 136 degree Since space diagonals space of space straight a space rectangle space are space equal space and space they space bisect space each space other comma therefore comma space in space triangle OAB comma space we space have OA equals OB rightwards double arrow angle OAB equals angle OBA space space space space space space space space left curly bracket Angles space opposite space to space equal space sides space are space equal right square bracket Now comma space in space triangle OAB comma angle OAB plus angle OBA space plus angle BOA equals 180 degree rightwards double arrow 2 angle OAB plus 136 degree equals 180 degree rightwards double arrow 2 angle OAB equals 44 degree rightwards double arrow angle OAB equals 22 degree end style
Answered by Rashmi Khot | 04 Dec, 2017, 03:01: PM

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