Math, asked by manish8996, 11 months ago

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°

Answers

Answered by meenugupta877
0

Answer:

45 degree is the answer to question

Attachments:
Answered by nikitasingh79
0

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.

HOPE THIS ANSWER WILL HELP YOU…..

 

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