ABCD is a rombus. If angel DAC = 50, find angel ACD, angel CAB, angel ABC

Asked by Prashant | 4th Jul, 2017, 06:48: PM

Expert Answer:

 
begin mathsize 16px style ABCD thin space is space straight a space rhombus.
angle DAC equals 50 degree
rightwards double arrow angle CAB equals 50 degree space space space
rightwards double arrow angle ACD equals 50 degree space space space space left parenthesis alternate space angles right parenthesis
Now comma
angle DAB equals angle DAC plus angle CAB equals 50 degree plus 50 degree equals 100 degree
And comma space angle DAB plus angle ABC equals 180 degree space space space space left parenthesis Adjacent space angles space of space straight a space rhombus space are space supplementary right parenthesis
rightwards double arrow 100 degree plus angle ABC equals 180 degree
rightwards double arrow angle ABC equals 80 degree end style

Answered by Rashmi Khot | 5th Jul, 2017, 08:59: AM