Question

the angel of the quadrilateral are in the ratio of 1:2:3:4 find the angle

Answer 1

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$let \: the \: angles \: of \: the \: quadrilateral \: be \: \\ \\ x \\ \\ 2x \\ \\ 3x \\ \\ 4x \\ \\ we \: know \: \\ \\ sum \: of \: all \: the \: angles \: of \: a \: quadrilateral \: is \: 360 \\ \\ the \: equation \: formed \\ \\ x \: + \: 2x \: + \: 3x \: + \: 4x \: = \: 360 \\ \\ 10x \: = \: 360 \\ \\ x \: = \: \frac{360}{10} \\ \\ x \: = \: 36$

One angle = 36 °

Second angle = 2 × 36 = 72 °

Third angle = 3 × 36 = 108 °

Fourth angle = 4 × 36 = 144 °


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Answer 2

Let 1st angle= x
Second=2x
Third =3x
Fourth= 4x
Sum of all angles=360
x+2x+3x+4x=360
10x=360
x=360/10=36

First angle —- x=36
Second——2x=2*36=72
Third——-3x=3*36=108
Fourth——4x=4*36=144