Question

The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle

Answer 1

Answer:

Let the number be x.

Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.

Then, the angles be 4x , 5x and 6x respectively.

We know that: The sum of all the measures of angles is 180 degree.

then;

$4x+5x+6x = 180^{\circ}$

Combine like terms;

$15x = 180^{\circ}$

Divide by 15 both sides we get;

$x = 12$

Then, the measure of each angle of triangle:

$4x = 4(12) = 48^{\circ}$

$5x = 5(12) = 60^{\circ}$

$6x = 6(12) = 72^{\circ}$