Question

Two adjacent angles of parallelogram PQRS are in the ratio 2:7. Find all the angles of the parallelogram.

Answer 1

HEYA!!
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◀Refer to the Attachment for the Figure ▶⬇⬇
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Let the Angles be 2X and 7 X

↗↗SUM OF ADJACENT ANGLES OF A PARALLELOGRAM= 180°
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2 X + 7 X = 180

9X = 180

X = 20

➡Angles = 2× 20 = 40°

➡7× 20 = 140°

Hence the angles are 140° , 40° , 140 ° and 40° respectively

[ Opposite angles of a parallelogram are equal ]

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