Question

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

Answer 1

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.

Answer 2

Answer:

In parallelogram, sum of adjacent angles = 180

Given they are in ratio 1 : 2

Therefore, x + 2x = 180

3x = 180

x = 60

Therefore, The angles are 60°, 120°, 60°, 120°.

Step-by-step explanation:

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