Question

The angles of a triangle are in the ratio 5:6:7. Find the size of the biggest angle.

Answer 1

Given :

• Angles of a triangle are in ratio of 5:6:7

To Find :

• Biggest Angle

Solution :

We're given that the angles of a triangle are in the ratio of 5:6:7 and we've to find value of the largest angle of the triangle.

A.T.Q,

Let angles triangle be :

5x, 6x and 7x

And we know that in a triangle, sum of angles is always equal to 180°

⇒5x + 6x + 7x = 180°

⇒11x + 7x = 180°

⇒18x = 180°

⇒x = 180°/18

⇒x = 10°

$\therefore$ Value of x is 10°

_________________________________

Now, we've to find value of the largest angle of triangle. So, first of all we've to find measure of all the angles of triangle

⇒5x = 5(10) = 50°

⇒6x = 6(10) = 60°

⇒7x = 7(10) = 70°

So, angles of triangle are 50° , 60° , 70°

And the largest angle is 70°

Answer 2

Answer:

hope it will help

Step-by-step explanation:

let angle be x

5x+6x+7x = 180(being sum of triangle)

18x = 180

x = 180÷18

x = 10

now,

5x = 5 × 10 = 50

6x = 6 × 10= 60

7x = 7 × 10 = 70

Therefore, The size of biggest angle is 7x = 70