Question

If l parallel to p and m is a transversal. Find the values of x, y and z. ​

Answer 1

$\Large\bf\underline{Solution:}$

x+105°= 180° [°.°Linear Pairs of angles]

x= 180°-105°

$\implies x = 75°$

.°. x= 75°

Then,

x = y [°.° Interior Opposite angles]

75°=75°

.°. y = 75°

Now,

z + y= 180°

$z + 75= 180° \\ \implies z =180° - 75° \\ \implies z = 105°$

.°. z= 105°

Answer 2

Question :-

if l parallel to P & M is there is a transversal line . then find the value of X Y and Z .

Answer :-

Given :-

• here it is given that l is parallel to p
• M is a transversal line .

what we have to find here ?

we have to find here the value of X Y and Z

how to find it ?

we can find first the value of "x" then the value of "y" and then the value of" Z ".

Solution :-

according to the given question ,

=> x+150°=180°( angles of linear pair )

=> x=180-150

=>x=75°

hence, x is 75°

now ,

x is equal to 75 . so , the y is also equal to 75 degree it is the interior opposite angles (x=y)

hence , y is 75°

to find the value of Z ;

z+y=180°

=> z+75=180

=> z=180-75

=> z=105°

Hence , z is 105°