The measures of the interior angles of a trapezoid are in the ratio of 3:4:5:6. What is the measure of the largest interior angle? 120 is the solution but why?
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Originally Posted by donnagirl The measures of the interior angles of a trapezoid are in the ratio of 3:4:5:6. What is the measure of the largest interior angle? 120 is the solution but why? The sum of all 4 interior angles is 360°. The sum of all parts of your proportions is 3 + 4 + 5 + 6 = 18 Therefore one part of the proportions correspond to 360°/18 = 20° The greatest angle contains 6 parts so 6 * 20° = 120°
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