Two adjacent angle of a rhombus are in the ratio 2:3 find all the angle of the rhombus.
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Let the adjacent angles of a rhombus be ∠A= 2x and ∠B =3x.
2x + 3x = 180° [sum of the adjacent angles of a rhombus is equal to 180°]
5x = 180°
x = 180°/5
x = 36°
∠A = 2x = 2 × 36° = 72°
∠A = ∠C = 72° [opposite angles of a rhombus are equal]
∠B = 3x = 3 × 36° = 108°.
∠B = ∠D = 108° [opposite angles of a rhombus are equal]
Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
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2x + 3x = 180° [sum of the adjacent angles of a rhombus is equal to 180°]
5x = 180°
x = 180°/5
x = 36°
∠A = 2x = 2 × 36° = 72°
∠A = ∠C = 72° [opposite angles of a rhombus are equal]
∠B = 3x = 3 × 36° = 108°.
∠B = ∠D = 108° [opposite angles of a rhombus are equal]
Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
HOPE THIS WILL HELP YOU...
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