Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find their measures.
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Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures. Solution : Let the angles be 4x and 5x. Then, 4x + 5x = 180° 9x = 180° x = 20° So, angles are 4 × 20° = 80° and 5 × 20° =100°.
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Adjacent angles = 4:5
Let the angles be 4x and 5x
Opposite angles are equal. Therefore, the angles at 4x, 5x, 4x and 5x
=> Sum of angles in a parallelogram = 360°
=> 4x + 5x + 4x + 5x = 18x = 360
=> x = 20°
=> Angles are 80° , 100° , 80° and 100°
Therefore, the adjacent angles are 80° and 100°
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