two adjacent sides of a rhombus are in ratio 2:3 find all angles of the Rhombus
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Heya ☺
Let the adjacent angles of the rhombus be 2x and 3x.
We know that the sum of the measures of the adjacent angles is equal to 180°.
2x + 3x = 180
=> 5x = 180
=> x = 180/5
=> x = 36°
Hence , AB = BC = 2 × 36° = 72°
AD = DC = 3 × 36° = 108°.
Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Thanks
Let the adjacent angles of the rhombus be 2x and 3x.
We know that the sum of the measures of the adjacent angles is equal to 180°.
2x + 3x = 180
=> 5x = 180
=> x = 180/5
=> x = 36°
Hence , AB = BC = 2 × 36° = 72°
AD = DC = 3 × 36° = 108°.
Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Thanks
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