1.

if the ratio of measure of two adjcant angles of the parallelogram find the measure of all angles of the parallelogram​

Answer»

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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