Question

Please solve for X?

Answer 1

See a solution process below:

Explanation:

The angles for triangle QRS add up to `180^o`

Angle R, because it is a right angle has is `90^o`

If we add angles R and S we get:

`90^o + 34^o = 124^o`

We can then calculate angle Q as:

`180^o - 124^o = 56^o`

The angles P and Q also form a 180^o angle.

So we know:

`"P" + "Q" = 180^o`

Or

`x + 72^o + 56^o = 180^o`

Solving for `x` gives:

`x + 128^o = 180^o`

`x + 128^o - color(red)(128^o) = 180^o - color(red)(128^o)`

`x + 0^o = 52^o`

`x = 52^o`