Question

in a parallelogram ABCD, if angle A =(2x+35)degree and angle C = (3x-5) degree find the value of X and measure of each angle of ABCD​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

HERE IS YOUR ANSWER MY DEAR....

Quadrilateral ABCD is a parallelogram ....

THEREFORE...

2x+35 = 3x - 5

35 + 5 = 3x - 2x

Therefore .. 40 = x

x = 40.

Angle A = Angle C = 2x+35

= 2 × 40 + 35

= 80 + 35

= 115

Adjacent angles of parallelogram are supplementary

=> Angle A + Angle B = 180 degree

=> 115 + Angle B = 180 degree

=> Angle B = 180 - 115

=> Angle B = 65

THEREFORE .... ANGLE A = 115 , ANGLE B = 65 , ANGLE C = 115 , ANGLE D = 65

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