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| Math Central | Quandaries & Queries |
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Question from victoria, a student: The sum of the measure of two angles of a pentagon is 240. If the remaining angles are congruent, what is the measure of each angle? |
Hi Victoria,
This is probably easiest if you consider the sum of the measures of the 5 exterior angles. The sum of the measures of the 5 exterior angles and the 5 interior angles is 5 × 180o = 900o. Subtract the sum of the measures of the 5 exterior angles from 900o to find the sum of the measures of the 5 interior angles. You know that the sum of the measure of two of the interior angles is 240o. How much is left to distribute among the 3 remaining angles?
Penny
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