Angles of a ParallelogramDate: 8/24/96 at 13:47:47 From: Anonymous Subject: Properties of Parallelogram Angles In a parallelogram ABCD, angle ABC = 2 * angle BCD; what is the measure of ADC? Date: 8/25/96 at 15:40:19 From: Doctor Robert Subject: Re: Properties of Parallelogram Angles You must remember that adjacent angles in a parallelogram are supplementary, that is, they add up to 180 degrees. So, your problem becomes one of algebra. If the measure of angle BCD is x, then the measure of angle ABC must be 2x. Then we know that 2x + x = 180 so that x = 60 degrees. Angle ADC must have a measure of 120 degrees. -Doctor Robert, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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