The value of x in the given parallelogram is

Asked by buntitanooj | 25th Oct, 2015, 02:20: PM

Expert Answer:

I n space a space p a r a l l e log r a m comma 1. space O p p o s i t e space s i d e s space a r e space p a r a l l e l 2. space O p p o s i t e space s i d e s space a r e space e q u a l 3. 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 4. 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 5. space D i a g o n a l s space b i s e c t space e a c h space o t h e r.  I n space t h e space g i v e n space f i g u r e comma space I K space a n d space H J space a r e space t h e space d i a g o n a l s. B y space t h e space p r o p e r t i e s space o f space t h e space p a r a l l e log r a m comma space I K space b i s e c t s space H J space a t space O rightwards double arrow H O equals O J rightwards double arrow x plus 40 equals 2 x plus 18 rightwards double arrow 40 minus 18 equals 2 x minus x rightwards double arrow x equals 22

Answered by Vimala Ramamurthy | 25th Oct, 2015, 05:38: PM