Q. 193.7( 3 Votes )

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°

Answer :

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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