given abcd is a parallelogram.<a=2y and <b=3x-10. if x-y=5 find the value of x and y

Asked by manmeetbatth79 | 25th Feb, 2015, 04:47: PM

Expert Answer:

G i v e n space t h a t space A B C D space i s space a space p a r a l l e log r a m. I n space a space p a r a l l e log r a m comma space o p p o s i t e space a n g l e s space a r e space e q u a l space a n d space a d j a c e n t space a n g l e s a r e space s u p p l e m e n t a r y. G i v e n space t h a t space angle A equals 2 y space a n d space angle B equals 3 x minus 10 S i n c e space a d j a c e n t space a n g l e s space a r e space s u p p l e m e n t a r y comma space w e space h a v e comma space angle A plus angle B equals 180 degree rightwards double arrow 2 y plus 3 x minus 10 equals 180 degree rightwards double arrow 3 x plus 2 y equals 190 degree.... left parenthesis 1 right parenthesis A l s o space g i v e n space t h a t space x minus y equals 5... left parenthesis 2 right parenthesis 3 x plus 2 y equals 190 degree bottom enclose 2 x minus 2 y equals 10 degree end enclose 5 x equals 200 degree rightwards double arrow x equals 200 over 5 rightwards double arrow x equals 40 degree S u b s t i t u t i n g space i n space e q u a t i o n space left parenthesis 2 right parenthesis comma 40 minus y equals 5 rightwards double arrow 40 plus 5 equals y rightwards double arrow y equals 45 degree

Answered by Vimala Ramamurthy | 26th Feb, 2015, 08:48: AM

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