The sum of the complementary angles always is 90°.
Therefore:
[tex]x+(14x+15)=90[/tex]
Solving for x:
[tex]\begin{gathered} x+(14x+15)=90 \\ x+14x+15=90 \\ 15x+15=90 \\ 15x=90-15 \\ x=\frac{75}{15}=5 \end{gathered}[/tex]
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°.
