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CBSE Class 9 Answered

It is given that XYZ =  64� and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ZYP, find XYQ and reflex QYP.
Asked by Turjo Bhattacharjee | 12 Jul, 2015, 09:52: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
G i v e n space t h a t space angle X Y Z equals 64 degree. S in c e space X Y space i s space p r o d u c e d space t o space P comma space t h e space a n l g e space angle X Y P space i s space a space s t r a i g h t space a n g l e. T h a t space i s space X Y P space i s space a space s t r a i g h t space l i n e. H e n c e space angle X Y P equals 180 degree A l s o space g i v e n space t h a t space Y Q space b i s e c t s space t h e space a n g l e space angle Z Y P. T h u s comma space angle Z Y Q equals angle P Y Q L e t space a equals angle Z Y Q equals angle P Y Q W e space h a v e comma angle X Y P equals angle X Y Z plus angle Z Y Q plus angle P Y Q rightwards double arrow 180 degree equals 64 degree plus a degree plus a degree rightwards double arrow 180 degree minus 64 degree equals a degree plus a degree rightwards double arrow 116 degree equals 2 a degree rightwards double arrow a degree equals fraction numerator 116 degree over denominator 2 end fraction rightwards double arrow a degree equals 58 degree F r o m space t h e space d i a g r a m space i t space i s space c l e a r space t h a t comma angle X Y Q equals angle X Y Z plus angle Z Y Q rightwards double arrow angle X Y Q equals 64 degree plus 58 degree rightwards double arrow angle X Y Q equals 122 degree R e f l e x space angle Q Y P equals 360 degree minus angle Q Y P space space space space space space space space space space space space space space space space space space space space space space equals 360 degree minus a degree space space space space space space space space space space space space space space space space space space space space space space equals 360 degree minus 58 degree space space space space space space space space space space space space space space space space space space space space space space equals 302 degree
Answered by Vimala Ramamurthy | 13 Jul, 2015, 11:13: AM

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