Math, asked by sankit55, 6 months ago

please give me the answer​

Attachments:

Answers

Answered by varsha756
4

Answer:

hope this helps you

give me thanks

mark as brainlist

and follow 3

Attachments:
Answered by sethrollins13
109

Given :

  • PQ // RS

To Find :

  • Value of x , y and z .

Solution :

\longmapsto\tt\bf{z=63^{\circ}\:(Corresponding\:Angles)}

Now ,

As we know that Sum of all angles of a triangle is 180° . So ,

\longmapsto\tt{63^{\circ}+55^{\circ}+x=180^{\circ}}

\longmapsto\tt{118^{\circ}+x=180^{\circ}}

\longmapsto\tt{x=180^{\circ}-118^{\circ}}

\longmapsto\tt\bf{x=62^{\circ}}

Also ,

\longmapsto\tt{x+y+z=180^{\circ}\:(Angles\:on\:one\:line)}

\longmapsto\tt{62^{\circ}+y+63^{\circ}=180^{\circ}}

\longmapsto\tt{125^{\circ}+y=180^{\circ}}

\longmapsto\tt{y=180^{\circ}-125^{\circ}}

\longmapsto\tt\bf{y=55^{\circ}}

Therefore :

\longmapsto\tt\bf{Value\:of\:x=62^{\circ}}

\longmapsto\tt\bf{Value\:of\:y=55^{\circ}}

\longmapsto\tt\bf{Value\:of\:z=63^{\circ}}

Similar questions