Question

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

Answer 1

It is given that the angle of triangle are in the ratio 4 : 2 : 3.

Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

$4x+2x+3x=180$

$9x=180$

$x=\frac{180}{9}$

$x=20$

The value of x is 20.

Put the value of x= 20 as,

4x= 4×20= 80°

2x= 2×20= 40°

3x= 3×20= 60°

Therefore the angles of triangle are  80°, 40° and 60°.