The measure of two angles andjacent angles are in the ratio of 3:2 find the each of the angle of the parallelogram
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Answer:
108°, 72°, 108° and 72°
Step-by-step explanation:
Let the measure of the given adjacent angles of the parallelogram be (3x)° and (2x)° respectively.
As we know that the sum of two andjacent angles of a parallelogram is 180°.
So, 3x + 2x = 180
=> 5x = 180
=> x = 180/5
=> x = 36
So, the measure of the given adjacent angles of the parallelogram are:
(3x)° = (3×36)° = 108°, and
(2x)° = (2×36)° = 72°
And we know that opposite angles of a parallelogram are equal.
So, the angles of the given parallelogram are 108°, 72°, 108° and 72°
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