Question

If angle F of parallelogram DFGE is 90 degree then find measure of the remaining angles

Answer 1

Answer: F = 90

Step-by-step explanation:

If, F = 90º

so, according to the rule opposite angles are equal:

D = 90º

and, according to the rule consecutive angles are supplementary

so , D + E = 180 and G + F = 180

=> 90 + E = 180 -> E = 90º

and

G + 90 = 180

G = 90º

So D=E=F=G = 90º

In general, in a parallelogram if any one angle is 90º, then all angles are 90º by default thus making it a rectangle.