Respuesta :

Answer:

Step-by-step explanation:

Remember that the angle sum of a triangle = 180 degrees.

If we know that the ratio of angles are 2:3:5

You can say

Angle 1 = 2 parts

Angle 2 = 3 parts

Angle 3 = 5 parts

We can say that each part must be equal.

That means in total we have 2 + 3 + 5 = 10 parts.

Find how big the angle is for each part.

10 parts  = 180 degrees

1 part = 18 degrees.

So since we know :

Angle 1 = 2 parts , Angle 1 = 2 times 18 = 36 degrees

Angle 2 = 3 parts , Angle 2 = 3 times 18 = 54 degrees

Angle 3 = 5 parts, Angle 3 = 5 times 18 = 90 degrees

So the largest angle of the triangle (Angle 3)  must be 90 degrees.