Question

(f) The angles of a triangle are in ratio 3:4:5, then find each angle.​

Answer 1

let the angles be 3x 4x and 5x respectively..

As we know that the sum of all the angles of a triangle is 180°

hence, 3x + 4x + 5x = 180°

12x = 180°

x = 180/12 = 15

therefore, the angles are 3*15= 45°

4* 15= 60°

5* 15 = 75°

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Answer 2

Answer:

Given : The angles of a triangle are in a ration of 3:4:5

To find : The measure of each angle

Solution : Let x be the common multiple

Therefore,

3x + 4x + 5x = 180° ( The sum of all angles of a triangle add up to 180° / Angle sum property)

= 12x = 180

= x = 180 ÷ 12 = 15

Therefore,

x = 15°

3x = 3 × 15 = 45

4x = 4 × 15 = 60

5x = 5 × 15 = 75

Answer = The angles of the triangle are 45°, 60°, 75° .