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in a quadrilateral ABCd the angles abcd are in the ratio of 1:2and3:4 find the vernest of each of the angles of quadrilateral |
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Answer» ∠A=36 o ,∠B=72 o ,∠C=108 o ,∠D=144 oStep-by-step EXPLANATION:∠A:∠B:∠C:∠D=1:2:3:4 So, LET ∠A=x,∠B=2x,∠C=3x,∠D=4x THEREFORE, by angle sum PROPERTY of QUADRILATERAL, x+2x+3x+4x=360 10x=360 x=36o Hence, ∠A=36 o ,∠B=72 o ,∠C=108 o ,∠D=144 o . |
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