Question

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

Explanation:

Step1: Set up the equation

Since the two angles \((2a - 1)^{\circ}\) and \((6a - 5)^{\circ}\) are complementary (their sum is \(90^{\circ}\)), we have the equation \((2a-1)+(6a - 5)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(2a+6a-1 - 5=90\), which simplifies to \(8a-6 = 90\).

Step3: Solve for \(a\)

Add \(6\) to both sides: \(8a=90 + 6=96\). Then divide both sides by \(8\): \(a=\frac{96}{8}=12\).

Answer:

\(12\)