Question

The measures of the angles of a triangle are in the ratio 5:6:9. What is the measure of each angle? .... can someone please help me with it

Answer 1

Three angles of triangle are 45°,54° and 81° .

Explanation:

Given the ratio of angles of triangle = 5:6:9.

Let the three angles of triangle be 5x, 6x and 9x.

We know the sum of angles of triangle = 180°

i.e 5x + 6x + 9x = 180°

or 20x = 180°

or x = 180° / 20

or x = 9°

Hence the three angles of triangles are:

First angle = 5x =5×9 = 45°

Second angle = 6x =6×9 = 54°

And third angle = 9x = 9×9 = 81°