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ICSE Class 8 Answered

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Asked by janish75 | 18 Jul, 2018, 03:32: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space
straight i. space increment OPQ space is space an space equilateral space triangle.
ii. space square PQRS space is space straight a space Square.
To space find colon
straight m angle straight x space and space straight m angle straight y
Solution colon
straight m angle OPQ space equals space 60 degree space space space... from space left parenthesis straight i right parenthesis
straight m angle SPQ space equals space 90 degree space space..... from space left parenthesis ii right parenthesis
straight m angle straight P space equals straight m angle OPQ space plus space straight m angle SPQ space space equals space 90 degree plus 60 degree equals 150 degree space space.... left parenthesis iii right parenthesis
straight l space left parenthesis PQ right parenthesis space equals space straight l left parenthesis OP right parenthesis space..... space from space left parenthesis straight i right parenthesis
straight l space left parenthesis PQ right parenthesis space equals space straight l left parenthesis PS right parenthesis space space..... from left parenthesis ii right parenthesis
rightwards double arrow straight l left parenthesis OP right parenthesis space equals space straight l left parenthesis PS right parenthesis
In space increment OPS comma
straight l left parenthesis OP right parenthesis space equals space straight l left parenthesis PS right parenthesis
rightwards double arrow straight m angle straight x space equals space straight m angle straight y..... left parenthesis angles space opposite space to space equal space sides right parenthesis... left parenthesis iv right parenthesis
In space increment OPS comma
straight m angle straight x space plus space straight m angle straight y space plus space straight m angle straight P space equals space 180 degree
rightwards double arrow straight m angle straight x space plus space straight m angle straight y space space equals 180 degree space minus 150 degree space equals space 30 degree space space space..... from left parenthesis iii right parenthesis
rightwards double arrow straight m angle straight x space equals space straight m angle straight y space equals 15 degree space space space space space.... from left parenthesis iv right parenthesis

end style
Answered by Yasmeen Khan | 19 Jul, 2018, 10:24: AM
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