Question

Find the value of a that makes m||n

Answer 1

The value of x that makes m║n is 40°

Line of transverse on parallel lines:    

In geometry, the line that intersects two straight lines at distinct points is known as a transversal.

Corresponding angles:

The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.

Note:

Two corresponding angles are formed by a transversal with two parallel lines that are equal

Here we have

The angle made by the intersecting line with line m is 120°

And the angle made by the same line with line n is 3x°

Let us assume that m║n  

From above observations

The given angle are corresponding angles

=> 3x° = 120°

=> x° = 40°  

Therefore,

The value of x that makes m║n is 40°

Learn more about the Line of transverse at

brainly.com/question/11592045

#SPJ1