Question

the angles of a triangle are in the ratio 3 is to 2 is to 7 find each angle of a triangle

Answer 1

# ANSWER ...!!

Ratio of the angles of a triangle = 3:2:7

Find each of the angle of the triangle.

Let the first angle of the triangle be 3x.

Let the second angle of the triangle be 2x.

Let the third angle of the triangle be 7x.

We know that the sum of all the three angles of a triangle is 180°.

So,

3x + 2x + 7x = 180°

12x = 180°

x = 180/12

x = 15°

So,

The first angle = 3x = 3*15 = 45°

The second angle = 2x = 2*15 = 30°

The third angle = 7x = 7*15 = 105°..

:)

Answer 2

let the required angles of a triangle be 3x°, 2x° and 7x°.
we know that the sum of all the angles of a triangle is 180°.
Therefore, 3x + 2x + 7x = 180
12x = 180
x = 180/12
x = 15.
So, the required angles are (3×15)° = 45° , (2×15) = 30° and (7×15)° = 105°.