# ABCD is a parallelogram with AB parallel DC .if angle A =(5x+5) and angle B =(4x-5) find the value of x and the measure of all angles of the parallelogram ABCD.

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so,

5x+5)+(4x-5)=180

9x=180

x=20

Angle A=5(20)+5=105

Angle B=75

Angle C=105

Angle D=75

and also angle A+angle B+angle C+angle D=360

i.e., (5x+5)+(4x-5)+(5x+5)+(4x-5)=360

⇒5x+4x+5x+4x=360

⇒18x=360

⇒