Question

Solve for x

An explanation would be great.

Answer 1

When two lines intersect, (in this case it's a ray and a line), they form a linear pair. Here, we know that
`93+3x+18=180` because those two angles form a linear pair. Solving for x we have :

`image`

Answer 2

The angle is a straight angle. Straight angles measure 180°. One of the angles measures 93°. Subtract 93 from 180.

`180 - 93 = 87`

That means:

`3x + 18 = 87`

Switch it around and it becomes:

`87 - 18 = 3x`

The sign changes when you move it to the other side. at first you were adding, and now you're subtracting.

Subtract:

`87 - 18 = 69 \\ 3x = 69`

Divide both sides by 3 to leave the variable alone:

`3x / 3 = x \\ 69 / 3 = 23`

That means x = 23