Question

solve for the value of q.
answer
q =

Explanation:

Step1: Sum of angles is 180° (straight line)

The angles \(57^\circ\), \(90^\circ\) (right angle), and \((8q + 1)^\circ\) add up to \(180^\circ\). So, \(57 + 90 + (8q + 1) = 180\).

Step2: Simplify the left side

\(57 + 90 + 1 + 8q = 180\) → \(148 + 8q = 180\).

Step3: Solve for q

Subtract 148 from both sides: \(8q = 180 - 148 = 32\). Then divide by 8: \(q = \frac{32}{8} = 4\).

Answer:

\(q = 4\)