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

Question

asked Jan 27, 2020 157k views

2 Answers

Turnt · Answer 1 · 2020-01-31T14:24:15+0000

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:

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

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

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