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CBSE Class 9 Answered

In space straight a space cyclic space quadrilateral space PQRS comma space if space angle straight P space minus space angle straight R space equals space 50 degree comma space then space find space the space measure space of space angle straight P space and space angle straight R.
Asked by Topperlearning User | 21 Feb, 2018, 09:56: AM
answered-by-expert Expert Answer

begin mathsize 18px style PQRS space is space straight a space cyclic space quadrilateral.
angle straight P space plus space angle straight R equals 180 degree space space space space space left parenthesis Opposite space angles space are space supplementary right parenthesis
angle straight P minus angle straight R equals 50 degree space space space space space space space space space left parenthesis Given right parenthesis
Adding space the space above space two space rquations comma space we space get
2 angle straight P equals 230 degree
angle straight P equals 230 over 2 equals 115 degree
angle straight R equals 115 degree minus 50 degree equals 65 degree end style

Answered by | 21 Feb, 2018, 11:56: AM
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