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Ratio of angles of triangle = 1:2:3
Let the common multiple be x
1st angle = 1x
2nd angle = 2x
3rd angle = 3x
According to angle sun property of a triangle,
x+2x+3x = 180⁰
=> 6x = 180⁰
=> x = 180⁰/6
=> x = 30⁰
1st angle = x = 30⁰
2nd angle = 2x = 2×30⁰ = 60⁰
3rd angle = 3x = 3×30⁰ = 90⁰
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Step-by-step explanation:
let the ratios be 'x'
<1=1x,<2=2x and <3=3x
<1+<2+<3=180(angle sum property)
1x+2x+3x=180
6x=180
x=180/6
x=30
<1=30
<2=60
<3=90
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