Question

two adjacent angles of a parallelogram are as 1 : 2. find the measures of all the angles of the parallelogram

Answer 1

For a parallelogram, opposite angles are equal and the sum of any two adjacent angles is 180°.

Here, let the angles be x and 2x.

x + 2x = 180°

= 3x = 180°

x = 180° ÷ 3 = 60°

∴ The smallest angle is 60°.

And the other (largest) angle is 60° x 2 = 120°.

∴ The angles of the parallelogram are 60°, 120°, 60° and 120°.

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Answer 2

Answer:

easy and detailed answer in the attachment.