Question

solve for the value of a.
answer attempt 1 out of 2
a =

Explanation:

Step1: Analyze the angle relationship

Since the two angles \(52^{\circ}\) and \((8a + 6)^{\circ}\) are complementary (they form a right - angle, sum to \(90^{\circ}\)).
So, \(52+(8a + 6)=90\).

Step2: Simplify the equation

First, combine like terms: \(8a+58 = 90\).
Then, subtract \(58\) from both sides: \(8a=90 - 58\), so \(8a = 32\).

Step3: Solve for \(a\)

Divide both sides by \(8\): \(a=\frac{32}{8}\), so \(a = 4\).

Answer:

\(a = 4\)