Question

Ratio of angles in a triangle are 2:3:5 find the angles.

Answer 1

Answer:

Let common factor of ratio of angles is X. So, 2*X+3*X+5*x=180° — sum of three angles of a triangle.

Let common factor of ratio of angles is X.

Ratios are 2:3:5 given.

So, 2*X+3*X+5*x=180° — sum of three angles of a triangle.

Now,

10*X=180°

So, X=18°.

Hence angles are 36° , 54° and 90°.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Ratio = 2 : 3 : 5

Angle sum property of triangle says all angles addition is 180 degree. let the angles be as 2x 3x and 5x

==> 2x + 3x + 5x = 180

==> 10x = 180

==> x = 180/10

==> x = 18

One Angle = 2x = 2 × 18 = 36

Second Angle = 3x = 3 × 18 = 54

Third angle = 5x = 5 × 18 = 90

.°. The angle are 36°, 54° and 90°.