Amanashidn
Answered

IDNLearn.com is your go-to resource for finding answers to any question you have. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

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 :

SalmonWorldTopperidn

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..

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.