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;
[tex]4x+5x+6x = 180^{\circ}[/tex]
Combine like terms;
[tex]15x = 180^{\circ}[/tex]
Divide by 15 both sides we get;
[tex]x = 12[/tex]
Then, the measure of each angle of triangle:
[tex]4x = 4(12) = 48^{\circ}[/tex]
[tex]5x = 5(12) = 60^{\circ}[/tex]
[tex]6x = 6(12) = 72^{\circ}[/tex]
Answer: 48, 60, 72
Step-by-step explanation:
the other person is correct :)
