Since the height of the rhombus divides the side in half, it is also the median of the triangle, and therefore the triangle ABD is equilateral and AB = BD = AD. In an equilateral triangle, all angles are 60, then the angle BAD = ABD = BDA = 60.
Since the diagonals of the rhombus divide the angle at the apex in half, the angle ABC = 2 * ABD = 2 * 60 = 120.
In a rhombus, the opposite angles are equal, therefore, the angle BAD = BCD = 60, the angle ADC = ABC = 120.
AB = P / 4 = 20/4 = 5 cm.
ВD = 5 cm.
Answer: The angles of the rhombus are 600 and 1200.
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