Ok! Here's an explanation and the answer:
The lines clearly make a right angle, as shown by the little square at the corner. A right angle is 90 degrees.
So we see angles 2 and 1. They make up the entire 90 degree angle.
So, you just have to add angles two and one to make 90 degrees.
(a1 = angle 1, and a2 = angle 2)
a1 + a2 = 90 (because of 90 degrees)
Let's replace the values with the ones given.
a1 = 3x and a2 = x + 22.
3x + x + 22 = 90.
The first thing to do is to get rid of the 22 so we only have values with x in it on the left.
Subtract 22 from both sides.
3x + x + 22 - 22 = 90 - 22.
Simplify.
3x + x = 68
Now we only have x values on the left. We can add them.
3x + x = 4x.
4x = 68.
Now, we only want x. No 4, just x. That way we can find the value x.
Divide each side by four to do this.
x = 68/4
x = 17.
Now, plug in 17 to the original values for a1 and a2.
a1 = 3x.
We know x is 17, so a1 is 3 * 17.
3 * 17 = 51.
a1 = 51.
a2 = x + 22
Plug in 17 there.
a2 = 17 + 22
a2 = 39.
In conclusion:
a1 = 51
a2 = 39
Hope this helped!
