Question

solve for the value of a.
(8a + 6)°
52°

Explanation:

Step1: Identify angle - sum relationship

The sum of the two non - right angles is 90° since the right - angle is 90°. So, $(8a + 6)+52=90$.

Step2: Simplify the left - hand side

Combine like terms: $8a+6 + 52=8a + 58$. So, $8a+58 = 90$.

Step3: Isolate the term with 'a'

Subtract 58 from both sides: $8a=90 - 58$.
$8a=32$.

Step4: Solve for 'a'

Divide both sides by 8: $a=\frac{32}{8}$.

Answer:

$a = 4$