Question

. Two adjacent angles of a parallelogram are in the ratio 1:5. Find all its angles.​

Answer 1

$\huge{\underline{\underline{\huge{\bold{AnsweR \: :-}}}}}$

• Let the two angles are x and 5x.

As we know that the adjacent angles in a parallelogram are supplementary.

∴x+5x=180°

$\large \: ⇒x= \frac{ {180}^{o} } {6} =30°$

• Therefore, the two adjacent angles of a parallelogram are 30° and 30°×5=150°.

As we know that opposite angles in a parallelogram are equal.

Hence the angles of paralellogram are 30°,150°,30° and 150° respectively.

Answer 2

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