Question

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

Explanation:

Step1: Use the property of angles around a point

The sum of angles around a point is \(360^{\circ}\). Here, we have a right - angle (\(90^{\circ}\)), an angle of \(57^{\circ}\) and an angle of \((8q + 1)^{\circ}\). The sum of these three angles is \(180^{\circ}\) (since they form a linear - pair - like situation in a half - circle concept).
So, \(57+(8q + 1)+90=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(57+1+90+8q=180\).
\(148+8q=180\).

Step3: Solve for \(q\)

Subtract \(148\) from both sides of the equation: \(8q=180 - 148\).
\(8q=32\).
Divide both sides by \(8\): \(q=\frac{32}{8}\).

Answer:

\(q = 4\)