In the quadrilateral ABCD, the angles A,B,C,D are in the ratio 1:2:1:2,then what are the measure of all angles of quadrilateral?
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Answer:∠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=36
o
Hence,
∠A=36
o
,∠B=72
o
,∠C=108
o
,∠D=144
o
Step-by-step explanation:
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Answer:
above anser is absolutely correct ✅
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