Angle of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is?
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Sum of all the angles =180degree
Sum of the ratio terms =2+4+3=9
Therefore, 2 by 9 multiplied by 180degree =40degree
Sum of the ratio terms =2+4+3=9
Therefore, 2 by 9 multiplied by 180degree =40degree
Answered by
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Angle sum property of a Δle = 180°
Here, the angles are in the ratio 2:4:3
∴2x+4x+3x=180°
9x=180°
x=180°/9
∴x=20°→1
We know that the smallest angle here is 2x, as it is smaller than 3 and 4.
∴Substituting 2x in 1, we get:
2(20) = 40°.
∴The smallest angle of the triangle is 40°.
Here, the angles are in the ratio 2:4:3
∴2x+4x+3x=180°
9x=180°
x=180°/9
∴x=20°→1
We know that the smallest angle here is 2x, as it is smaller than 3 and 4.
∴Substituting 2x in 1, we get:
2(20) = 40°.
∴The smallest angle of the triangle is 40°.
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