Question

Given m||n, find the value of x.
Please and thank you!! :)

Answer 1

`\sf x = 13^\circ`

Explanation:

Alternate angles are angles that are on opposite sides of a transversal line and have the same measure. There are two types of alternate angles:

Alternate interior angles are formed by two parallel lines and a transversal. They are located between the parallel lines.

Alternate exterior angles are formed by two parallel lines and a transversal. They are located outside of the parallel lines.

In this case:

The given angle are Alternate interior angle:

Since the measure are equal, so,

`\sf (9x+9)^\circ = (10x-4)^\circ`

Add 4 and Subtract 9x on both sides:

`\sf (9x+9 +4 -9x )^\circ = (10x-4+4-9x)^\circ`

Simplify:

`\sf 13^\circ = x^\circ`

Therefore,

`\sf x = 13^\circ`

Answer 2

x=13

Explanation:

The angles shown are alternate interior angles and alternate interior angles are equal when the lines are parallel.

9x+9 = 10x-4

Subtract 9x from each side.

9x+9-9x = 10x-4-9x

9 = x-4

Add 4 to each side.

9+4 = x-4+4

x=13