Question:
If an angle of a parallelogram is two third of its adjacent angle,find the angles of the parallelogram.
Answer:
We know the adjacent angles of a parallelogram are supplementary.
Now, given one angle is 2/3 of the other.
Let the smaller angle be x, which is 2/3 of the other. Let the other angle be y.
x = 2y/3
Now we now that x + y = 180, so
x + 3x/2 = 180
=> 5x/2 = 180
=> 5x = 180 * 2
=> 5x = 360
=> x = 72
So, the smallest angle is 72. (Bigger one is 108)
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