Two angles of a parallelogram are 5x-2 and 40-x . Find all the angles of the parallelogram
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Adjacent angles are equal. Thus, other two angles are equal to: 5x - 2 and 40 - x
Sum of angles in a parallelogram = 360
=> 2(5x - 2 + 40 - x) = 360
=> 4x + 38 = 180
=> 4x = 142
=> x = 35.5°
Angles = 5x - 2 = 177.5 - 2 = 175.5
40 - x = 40 - 35.5 = 4.5
Angles = 175.5°, 4.5°, 175.5°, 4.5°
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