The sum of the complementary angles always is 90°.
Therefore:

Solving for x:

Now, we know that x is equal to 5. Finally, putting x=5, we get:
angle1. x=5°.
angle2= 14x+15= 14*5+15= 85°.
Answer: The measure of x° is 5° and the mesure of (14x + 15)° is 85°.