if an angle of parallelogramis four -fifths of its adjacent angle,find the angles of parallelogram

Asked by dev | 8th Nov, 2014, 09:44: PM

Expert Answer:

L e t space x space a n d space y space b e space t h e space a d j a c e n t space a n g l e s space o f space a space p a r a l l e log r a m. G i v e n space t h a t space x equals space 4 over 5 y A l s o comma space w e space k n o w space t h a t space t h e space a d j a c e n t space a n g l e s space o f space a space p a r a l l e log r a m space a r e space s u p p l e m e n t a r y. T h e r e f o r e comma space w e space h a v e x plus y equals 180 degree rightwards double arrow 4 over 5 y plus y equals 180 degree rightwards double arrow fraction numerator 4 y plus 5 y over denominator 5 end fraction equals 180 degree rightwards double arrow 9 y equals 900 degree rightwards double arrow y equals 100 degree x equals 4 over 5 cross times 100 degree equals 80 degree T h u s space t h e space a n g l e s space o f space t h e space p a r a l l e log r a m space a r e comma space 100 degree comma space 80 degree comma space 100 degree space a n d space 80 degree

Answered by Vimala Ramamurthy | 9th Nov, 2014, 03:00: PM