Question

Giving m||n, find the value of x.

Answer 1

`\sf59\degree + \angle \: y = 180 \degree`

They form supplemenatary angles since they lie on a staright line...

`\sf\angle \: y = 180\degree - 59\degree \\ \sf \angle \: y = 121\degree`

Now,

`\sf\angle \: y = \angle \: x`

They are alternate interior angles... which means they are equal!!

`\therefore \tt \: \angle \: x = 121 \degree`

Answer 2

Answer:121

Explanation:

While m is parallel to n the angle to the right of 59 is 121, lets call it angle 2 and 59 angle 1, as angle 1 and 2 are linear angle pairs they equal to 180 therefore you can do 180-59 which gets you 121

the angle under 59 is also 121 lets call it angle 3, angle 3 is vertical to angle 2 which makes them congruent

finally x=121 as alternate interior angles are congruent and angle 3 and x are alternate interior angles.