in the given parrallelogram ABCD find the value of x and y
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Step-by-step explanation:
in a parallelogram opposite angles are equal
so D = B = (2y - 5)
sum of adjacent angles of a parallelogram is 180
A + B = 180
3y + (2y - 5) = 180
5y - 5 = 180
5y = 180 + 5
5y = 185
y = 185/5
y = 36
B + C = 180
(2y - 5) + (3x + 3) = 180
put the value of y we got above:
(2 x 36 - 5) + 3x +3 = 180
(72 - 5) + 3x + 3 = 180
68 + 3x + 3 = 180
3x - 71 = 180
3x = 180 + 71
3x = 251
x = 251/3
x = 83.67
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