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Step-by-step explanation:
∠ACD = 2x (Alternate Interior Angle)
∠CAD = 3x (Alternate Interior Angle)
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∠DAB = 3x + 2x = 5x
∠BCD = 2x + 3x = 5x
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∠ABC = 5x (Opp. angles of a //ogram)
Each of the angles of the parallelogram is 5x
5x + 5x + 5x+ 5x = 360° (Angle Sum Property)
20x = 360°
x = 18°
5x = 5 x 18° = 90°
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Since, each of the angles is 90°
∴ The given parallelogram is a rectangle
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