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question solve for the value of a.

Question

question solve for the value of a.

Explanation:

Step1: Identify angle - sum relationship

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

Step2: Solve the equation for $a$

Subtract 50 from both sides: $8a=90 - 50$.
$8a = 40$.
Divide both sides by 8: $a=\frac{40}{8}=5$.

Answer:

$a = 5$