If an angle of a parallelogram is two thirds of its adjacent angle find the angle of a parallelogram .

Asked by agarwalsenterprises | 19th Feb, 2020, 07:08: PM

Expert Answer:

Let a and b be the adjacet angles of a parallelogram.
Now, as we know that adjecent angles of a parallelogram are supplementary
Therefore, sum of angles a and b will be 180o
 
rightwards double arrow a plus b equals 180 degree
O n e space a n g l e space i s space 2 divided by 3 r d space o f space t h e space o t h e r space rightwards double arrow a equals 2 over 3 b
rightwards double arrow 2 over 3 b plus b equals 180 degree
rightwards double arrow 5 over 3 b equals 180 degree
rightwards double arrow b equals 108 degree
rightwards double arrow a equals 2 over 3 cross times 108 degree equals 72 degree

Answered by Renu Varma | 20th Feb, 2020, 10:27: AM