Question

One angle of parallelogram 24 less than twice the smallest adjacent angle. Find the each angle of parallelogram

Answer 1

Answer:

Let the smallest angle be A is x degree.

Angle B is 2x-24 degree.

Opposite angles of parallelogram are equal,

Angle C = A = x degree

Angle D = 2x-24 degree

Since sum of all angles of parallelogram is 360 degree,

x+2x-24+x+2x-24=360

6x-48=360

6x=408

x=68 degree

A. 68 degree

B. 112 degree

C. 68 degree

D. 112 degree