Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Q 10 In The Adjoining Figure If Xyz 234 Then Find The Value Of Z And P class=

Sagot :

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..