Question

Find the angles of a triangle which are in the ratio 4:3:2.​

Answer 1

80o, 60o, 40o

Explanation:

The sum has to add up to 180 degrees because of the three sides and this is what matches.

Answer 2

Let the given angles of the triangle be 4x, 3x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

• 4x+3x+2x = 180
• 9x = 180
• x = 180/9
• x = 20

Hence, the angles of the triangle are -

• 4x = 4×20 = 80°
• 3x = 3×20 = 60°
• 2x = 2×20 = 40°