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If the measure of angle A is 5 times the measure of Angle B what is the measure of Angle C in an parallelogram?
Wiki User
∙ 10y ago
A parallelogram has four angles where the opposing angles are equal and the opposing sides are parallel (hence the name parallelogram) and are of equal length. All four angles must add up to 360 degrees. Since the opposing angles are equal, any two adjacent angles must therefore add up to 180 degrees.
Since A is not equal to B, the two angles must be adjacent, so we can say:
A + B = 180 degrees
Since A is 5 times B, we can now say:
5B + B = 180 degrees
Or more simply:
6B = 180 degrees
Dividing both sides by six yields B:
B = 30 degrees
Knowing B we can now determine A:
A = 5B
A = 5 x 30
A = 150 degrees
According to the rules of parallelograms, if C is opposite A then C must be 150 degrees, otherwise C must be 30 degrees.
Wiki User
∙ 10y ago
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