Answer:
Explanation:
From the diagram, and knowing that the measure of a straight line, we know that the angle right above the 45 degree angle, is 180-45, because a straight line has a measure of 180 degrees. That gives us 135 degrees. We know that a triangle has a total measure of 180 degrees, like a straight line. Now, we can combine the 2 angles we do know, and subtract that from 180. Ok, lets do it. 135+22=157. Now we subtract to find the final angle in the triangle. 180-157=23. Therefore, the angles in our triangle are 135, 22, and 23. We can check our work by adding all these angles together, and if they add to 180, we know it is correct. And they do. Now, using the same rule as before, we can subtract the final angle, next to the x, by 180, to get x. 180-23=157.
Therefore, we know x = 157.