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The adjacent angels of a parallelogram are x° and (2x + 30)°. Find all the angles of the parallelogram.

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Given that the adjacent angles of a parallelogram are x° ; (2x + 30)° 

Adjacent angles of a parallelogram are supplementary. 

∴ x + (2x + 30) = 180° 

3x + 30 = 180° 

3x = 180° – 30° = 150° 

x = 150°/3 = 50° 

∴ The adjacent angles are x = 50° 

2x + 30°= 2 x 50 + 30 = 130° 

∴ The other two angles are 50°, 130° 

∴ The four angles are 50°, 130°, 50°, 130°

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