If the angles of a triangle are in the ratio 2: 1: 3, then find the measure of smallest angle.
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Given : angles of a triangle are in the ratio 2 : 1: 3.
To find : The measure of smallest angle.
SOLUTION :
We have angles of the triangle are in ratio 2 : 1 : 3
Let, the three angles of a triangle be 2k, 1k, 3k
We know that, Sum of all angles of a triangle is 180°.
2k + 1k + 3k = 180°
6k = 180°
k = 180/6
k = 30°
smallest angle = k = 30°
Hence ,the measure of smallest angle is 30°.
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