Here we have the following figure:
There's some facts that we could use to find the measure of each angle:
- The diagonals form a right angle, which measures 90°. Thus, the measure of angle 1 is 90°.
- The sum of all the internal angles of a triangle is always 180. So,
The measure of angle 2 is:
180-38-90 = 52.
We could use the same fact to find the measure of angle 4:
The measure of angle 4 is:
180 - 90 - 53 = 37.
With the angles found, we can draw this new figure:
Therefore, the answer is:
Angle 1 = 90°
Angle 2 = 52°
Angle 3 = 38°
Angle 4 = 37°
Angle 5 = 53°