if one angle of triangle is 60°
and order to angle 2:3 find their angle
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0
Answer:
One angle of a triangle =60
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Other two angles are in the ratio 2:3
Sum of other two angles =180
∘
−60
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=120
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Let one of other two angles =2x
Then third angle =3x
2x+3x=120
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5x=120
∘
x=24
Other two angles are 2x=2×24=48
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and 3x=3×24=72
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Other two angles of the triangle are 48
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,72
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Answered by
1
Let the other two angles be 2x and 3x from the given ratio.
1st angle = 60°
By using angle sum property
1st angle + 2nd angle + 3rd angle = 180°
60° + 2x + 3x = 180°
60° + 5x = 180°
5x = 180°- 60°
5x = 120°
x = 120°
5
x = 24°
So, the 2nd angle = 2x = 2×24° = 48°.
the 3rd angle = 3x = 3×24° = 72°
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