5. The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram
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Answer:
108° 72° 108° 72°
Step-by-step explanation:
Let the adjacent angles be 3x and 2x
In a parallelogram, the opposite angles are equal.
Therefore the angles will be: 3x, 2x, 3x and 2x
Sum of the angles of a parallelogram = 360°
3x + 2x + 3x + 2x = 360°
10x = 360
x= 36°
Therefore, the angles are:
3x = 108°
2x = 72°
3x = 108°
2x = 72°