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: 48, 60, 72

Explanation:

the other person is correct :)

Answer 2

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)`