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CBSE Class 9 Answered

PQRS is a rhombus in which diagonal PR is produced to T, if angle SRT = 152 , find angle x , y  and z?
Asked by nisha_vini29 | 23 Feb, 2016, 10:40: AM
answered-by-expert Expert Answer
begin mathsize 12px style PQRS space is space straight a space rhombus. space So space the space diagonal s space bisect space each space other space at space right space angle. therefore straight y equals 90 degree angle SRT space equals angle QSR plus straight y space left parenthesis external space angle space is space equal space to space sum space of space opposite space internal space angles right parenthesis rightwards double arrow 152 equals angle QSR plus 90 degree rightwards double arrow angle QSR equals 62 degree SR vertical line vertical line PQ. space So space angle QSR equals straight x equals 62 degree space In space triangle SPR comma space SP equals SR rightwards double arrow angle SRP equals angle SPR equals straight z angle SRP equals 180 degree minus angle SRT equals 180 degree minus 152 degree equals 28 degree Hence comma space straight z equals 28 degree end style
Answered by satyajit samal | 23 Feb, 2016, 12:15: PM

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