Question

Find the measure of all parallaleogram, if one abngle is 24degree less than the twice of the smallest angle

Answer 1

Let ABCD be a parallelogram.

Let angle B be X
Therefore, angle A= 2x-24
Therefore, A+B =180
=2x-24+x=180
=3x-24=180
=3x = 180-24
= x= 156÷1/3
= x= 52
Therefore, angle B= x=52
Therefore, angle A =2x -24
=104 -24
=80
Therefore, angle C = 80 (parallel side of parallelogram)
Therefore, angle D = 52 (parallel side of parallelogram)