Question

In a triangle, the angles are in the ratio of 5 : 6 : 25, Then the largest angle of the triangle is

Answer 1

Step-by-step explanation:

5x+6x+25x=180degrees

36x=180degrees

x=180/36degrees

x=5degees

Now,largest angle =125degrees

Answer 2

Given,

In a triangle, the angles are in the ratio of 5 : 6: 25.

To find,

The value of the largest angle of the triangle.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have:

A triangle and its angle in the ratio of 5:6:25.

Now, let's take the three angles to be (5x)°, (6x)° and (25x)°.

The largest angle is the third one, (25x)°.

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

So,

(5x+6x+25x)° = 180°

36x = 180

x = 180/36

x = 5

Putting this value of x in the third angle:

(25x)°

(25×5)°

125°

Hence, the largest angle of the triangle is 125°.