Question

In the given figure x:y:z=2:3:5. Find the values of x,y,z.​

Answer 1

Step-by-step explanation:

Given :-

Figure is attached

x:y:z = 2:3:5

To find :-

Find the values of x,y and z ?

Solution :-

From the given figure

x:y:z = 2:3:5

Let x = 2k°

Let y = 3k°

Let z = 5k°

We know that

Vertically opposite angles are equal.

The angles are in the given figure

= 2k°, 3k°, 5k°, 2k°, 3k°, 5k°

We know that

The angle around a point is 360°

=> 2k°+ 3k° + 5k° + 2k° + 3k° + 5k° = 360°

=> 20k° = 360°

=> k° = 360°/20

=> k° = 18°

Therefore,k = 18°

Now,

x = 2k° = 2(18°) = 36°

y = 3k° = 3(18°) = 54°

z = 5k° = 5(18°) = 90°

Answer:-

The values of x ,y and z are 36° ,54° and 90° respectively.

Used formulae:-

→ Vertically opposite angles are equal.

→ The angle around a point is 360°