Question

the interior angles of a trangle are in the ratio of 4:5:6.what is the measure of the largest of these angles?

Answer 1

let angles be 4x,5x,6x.....

4x+5x+6x= 180° ( angle sum property of a triangle)
15x=180
X=180/15
x=12°

4x=4*12=48°
5x=5*12=60°
6x=6*12=72°

so, the largest interior angle is 72°..... please mark it as brainliest

Answer 2

Given ratio = 4:5:6

Let the interior angles be 4x, 5x, 6x

4x + 5x + 6x = 180
(Sum of all the angles of a triangle is 180)
15x = 180
x = 180/15
x = 12

So the measure of the angles are

4x = 4×12 = 48
5x = 5×12 = 60
6x = 6×12 = 72

Therefore, the measure of the largest interior angle is 72.

HOPE THIS HELPS!