I can see how you might have trouble with this one, because the drawing isn’t clear.

Here’s what it’s trying to show:

- The line ’a’-’b’ is the line where a wall meets the floor.

- The line to ’c’ is a vertical line drawn on the wall.

- The line to ’d’ is a line drawn on the floor.

If you can see it like that, then there are two giveaways for the value of ’x’:**One way:**

’c’ is perpendicular to the floor. That’s the only way the angles

on the wall on each side of it. 3x and 3x. could be equal, and

they must be 90 degree angles, so **’x’ is 30 degrees**. **The other way:**

The line on the floor, to ’d’, is not perpendicular to the wall, because the angles

on the floor on each side of it are not equal. But the two of them do add up to

180 degrees, because the line ’a’-’b’ is a straight line.

So ’x’ is what’s left over when 150 degrees is taken away from 180 degrees. **’x’ is 30 degrees** again.

\( 150+3x+3x+x=360\\ 7x=210\\ x=30 \)