In a parallelogram ABCD, angle A= 3yº, angleB =(2y-5) and angle C= ( 3x + 3)". Find the value of x
and y.
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Answer:
Two adjacent internal angles of a parallelogram are supplementary,
Therefore
∠A + ∠B = 180°
(3y) + (2y-5) = 180
3y + 2y - 5 = 180
5y - 5 = 180
5y = 185
y = 37
Opposite internal angles of a parallelogram have equal measure.
Therefore,
∠A = ∠C
3y = 3x + 3
3(37) = 3x + 3
111 = 3x + 3
108 = 3x
36 = x
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