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
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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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