Question

Given mn, find the value of x.

Answer 1

Answer:

x = 32 degrees

Step-by-step explanation:

since there is a line intersecting both of the lines you would do the opposite number to solve the problem. basically what i am trying to say is.

A straight line equals 180 degrees

and the given angle is 148 degrees

so just subtract.

180 degrees - 148 degrees = 32 degrees

so x = 32 degrees

to see if it is reasonable, look at the angle

if you look you can see that it is an acute angle

so, since 32 degrees is an acute angle, the answer is also reasonable.

so like i said,

x = 32 degrees

Answer 2

The interior angles of parallel lines and a transversal are the angles between the parallel lines.

The value of x is 32 degrees

Alternate interior angles of a parallel line add up to 180 degrees.

So:

$\mathbf{148 + x = 180}$

Subtract 148 from both sides

$\mathbf{148 - 148+ x = 180 - 148}$

Evaluate like terms

$\mathbf{x = 32}$

Hence, the value of x is 32 degrees

Read more about alternate interior angles at:

https://brainly.com/question/15685431