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°
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45 degree is the answer to question
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Given : The measures of angles of a triangle are in the ratio of 3 : 4 : 5.
Let, ∠1 = 3x , ∠2 = 4x and ∠3 = 5x
We know that, the sum of three angles of a triangle is 180°.
∠1 + ∠2 + ∠3 = 180°
3x + 4x + 5x = 180°
12x = 180°
x = 180°/12
x = 15°
Now,
∠1 = 3x = 3 × 15° = 45°
∠2 = 4x = 4 × 15° = 60°
∠3 = 5x = 5 × 15° = 75°
Hence, the measure of the smallest angle of the triangle is 45°.
Among the given options option (C) 45° is correct.
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