Question

solve for the value of a.

Explanation:

Step1: Use angle - sum property

The two angles $50^{\circ}$ and $(8a)^{\circ}$ are complementary (since they form a right - angle). So, $50 + 8a=90$.

Step2: Solve the equation for $a$

Subtract 50 from both sides: $8a=90 - 50$. So, $8a = 40$. Then divide both sides by 8: $a=\frac{40}{8}$.

Answer:

$a = 5$