In the figure shown below, line m and line n are parallel. What is the value
of x ?

x= 20

Step-by-step explanation:

First of all, both of these angles together will sum up to 180 degrees.

The equation here would be, 3x-10+5x+30= 180.

Step 1

Add the common multiples.

(3x+5x)+(-10+30)= 180

This will give you..

8x+20= 180

Step 2

Subtract 20 to both sides.

8x+20= 180

    -20   -20

8x= 160

Step 3

Now, divide both sides by 8 to isolate the variable.

8x= 160

8      8

x= 20

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.