I can answer questions about angles, but for questions about angels, you need to consult your favorite clergyman.
Let represent the measure of the desired angle in degrees. Then the measure of the complement of is . Four times the complement is and 15 degrees less than that is . And since we know that 15 degrees less than four times the complement IS the angle:
Solve for .
John
My calculator said it, I believe it, that settles it