Question

If x degree and (14+15) are the measures of complementary angles what is the measure of each angle?

Answer 1

The sum of the complementary angles always is 90°.

Therefore:

$x+(14x+15)=90$

Solving for x:

$\begin{gathered} x+(14x+15)=90 \\ x+14x+15=90 \\ 15x+15=90 \\ 15x=90-15 \\ x=\frac{75}{15}=5 \end{gathered}$

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°.