Question

the measure of two adjacent angles of a parallelogram are in the ratio 7:2,find the measurement of each angle of the parallelogram​

Answer 1

❏Given:-

• The measure of two adjacent angles of a pαrallelogram are in the ratio 7:2.

❏To find:-

• Measurement of each angle of the parallelogram.

❏Solution:-

Let adjacent angle = 7x and 2x

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Therefore, 7x + 2x = 180°

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$\sf (Sum \: Of \: adjacent \: angle \: of \: \\ \sf parallelogram = \boxed{180° } \: )$

9x = 180°

x= 180/9

x= 20°

• ∴ Angle 7x = 7 × 20 = 140°

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• 2x = 2 × 20 = 40 °

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Opposite αngles of pαrallelogram is equal , So remaining two αngles 140° and 40°.

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Hence, Angle αre 140°, 40° αnd 140°, 40°.

Answer 2

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Angle αre 140°, 40° αnd 140°, 40°.