In Dorjee' s field if adjacent Angeles are in the ratio 3:5 ,find all the angels of his field
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Dorjee's field's shape is parallelogram.
∴ the sum of adjacent angles of parallelogram is 180 degree.
let the angles of field be A,B,C,D.
∠A=3x
∠B=5x
∠A+ ∠B=180
3x+5x=180
8x=180
x=22.5
∠A=3x=3 x 22.5=67.5
∠B=5x=5 x 22.5=112.5
opposite angles of parallelogram are equal.
⇒∠A=∠C=67.5 °
∴∠B=∠D=112.5 °
∴ the sum of adjacent angles of parallelogram is 180 degree.
let the angles of field be A,B,C,D.
∠A=3x
∠B=5x
∠A+ ∠B=180
3x+5x=180
8x=180
x=22.5
∠A=3x=3 x 22.5=67.5
∠B=5x=5 x 22.5=112.5
opposite angles of parallelogram are equal.
⇒∠A=∠C=67.5 °
∴∠B=∠D=112.5 °
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