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if the ratio of measure of two adjcant angles of the parallelogram find the measure of all angles of the parallelogram |
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Answer» i. LET ABCD be the PARALLELOGRAM. The ratio of MEASURES of two adjacent angles of a parallelogram is 1 : 2. Let the COMMON multiple be x. ∴ ∠A = x° and ∠B = 2x° ∠A + ∠B = 180° [Adjacent angles of a parallelogram are supplementary] ∴ x + 2x = 180. ∴ 3x = 180. ∴ x = 180/3. ∴ x = 60. |
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