# If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?A. 25°B. 30°C. 45°D. 60°

Let,

1, 2 and 3 be the angles of the triangle which are in the ratio 3: 4: 5 respectively.

1 = 3k

2 = 4k

3 = 5k

We know that,

1 + 2 + 3 = 180o

3k + 4k + 5k = 180o

k = 15o

So,

1 = 3 * 15o = 45o

2 = 4 * 15o = 60o

3 = 5 * 15o = 75o

Thus, smallest angle is 45o.

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