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CBSE Class 9 Answered

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Asked by Girishdhawan | 01 Jul, 2018, 03:20: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space bisector space of space straight B space and space straight C space meet space at space straight O.
angle BOC space equals space 135 degree
To space prove space colon space angle straight A space equals space 90 degree
Proof colon
In space increment ABC comma
angle straight A space plus space angle straight B space plus space angle straight C space equals space 180 degree
rightwards double arrow angle straight B space plus space angle straight C space space equals space 180 degree space minus space angle straight A space..... left parenthesis 1 right parenthesis
In space increment OBC comma
angle OBC space plus angle BOC space plus angle OCB space equals 180 degree
rightwards double arrow angle OBC space plus angle OCB space equals space 180 degree space minus space 135 degree space equals space 45 degree
rightwards double arrow 2 angle OBC space plus 2 angle OCB equals space 90 degree...... multiply space by space 2
rightwards double arrow angle straight B space plus space angle straight C space space equals 90 degree space
rightwards double arrow 180 degree space minus space angle straight A equals 90 degree space space space space... from left parenthesis 1 right parenthesis
rightwards double arrow angle straight A space equals space 90 degree space
Hence space proved. end style
Answered by Yasmeen Khan | 05 Jul, 2018, 11:27: AM
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