Question

Q 10). In the adjoining figure if x:y:z = 2:3:4, then find the value of z and p.​

Answer 1

Step-by-step explanation:

Given :-

In the adjacent figure, x:y:z = 2:3:4

To find :-

Find the value of z and p ?

Solution :-

Given that

In the adjacent figure, x:y:z = 2:3:4

Let x = 2a°

Let y = 3a°

Let z = 4a°

From the given figure,

x ,y and z are the angles on the same line

=> x + y + z = 180°

=> 2a° + 3a° + 4a° = 180°

=> 9a° = 180°

=> a° = 180°/9

=> a° = 20°

Therefore, a = 20°

Now

x = 2a° = 2×20° = 40°

y = 3a° = 3×20° = 60°

z = 4a° = 4×20° = 80°

and

x and p are linear pair

=> x + p = 180°

=> 40°+p = 180°

=> p = 180°-40°

=> p = 140°

Therefore, p = 140°

Answer :-

The value of z = 80°

The value of p = 140°

Used formulae:-

→ The sum of all angles lie on the same line is 180°

→ The sum of two adjacent angles is 180° are called Linear pair..