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solve for the value of a. 104° (8a-4)° answer attempt 1 out of 3 a = su…

Question

solve for the value of a.
104°
(8a-4)°
answer attempt 1 out of 3
a =
submit answer

Explanation:

Step1: Identify angle relationship

The two angles \(104^\circ\) and \((8a - 4)^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\(104 + (8a - 4) = 180\)

Step2: Simplify the equation

Simplify the left - hand side: \(104 - 4+8a=180\), which is \(100 + 8a=180\).

Step3: Solve for \(a\)

Subtract \(100\) from both sides: \(8a=180 - 100=80\).
Divide both sides by \(8\): \(a=\frac{80}{8}=10\).

Answer:

\(10\)