Question

The angles of a triangle are in the
ratio of 3: 4: 2. Find the measure of
each angle of the triangle


​

Answer 1

Step-by-step explanation:

180=3x+4x+2x

180=9x

180/9=x

20=x

2x =40

3x=60

4x=80

Answer 2

Answer:

angle 1 =60°, angle 2 = 80° and angle 3 =40°

Step-by-step explanation:

Let the angles be 3x, 4x and 2x

We know that sum of all angles in triangle is 180°

Then,

3x + 4x + 2x = 180°

3x + 6x = 180°

9x = 180°

x = 180° ÷ 9

x = 20

So, the angles are,

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

And 2x = 2 × 20 = 40°

[ Now, you can check your answer. 60° + 80° + 40° = 180° which satisfies the angle sum property of a triangle]

Hope it helps!