Question

The angles of a triangle are in the ratio 3 : 4 : 5. Find the angles .

Answer 1

Answer:

The angles are 45°,60° and 75°.

Step-by-step explanation:

Given that,

The angles of triangle are in ratio 3:4:5.

Let  the angles be 3x,4x and 5x.

wkt, the sum of interior angles of triangle is 180°

⇒3x+4x+5x=180°

⇒12x=180°

⇒x=180/12

⇒x=15

Substitute the value of x to get the angles.

3x=3×15=45°

4x=4×15=60°

5x=5×15=75°

Answer 2

Answer:

First angle =45°

Second angle=60°

Third angle=75°

Step-by-step explanation:

Let "x" be a common factor

(with also help of Sum of triangle = 180)

$3x+4x+5x= 180\\12x=180\\x= \frac{180}{12\\} \\x = 15$

Now,

First angle = 3×15=45°

Second angle= 4×15=60°

Third angle= 5×15=75°