Question

solve for the value of q.
(8q+1)°
57°
answer attempt 1 out of 2
q =
submit answer

Explanation:

Step1: Identify angle sum

The sum of angles around a point on a straight line (or forming a right - related set) here: \(57^{\circ}+90^{\circ}+(8q + 1)^{\circ}=180^{\circ}\) (since they form a straight angle, sum to \(180^{\circ}\)).

Step2: Simplify the equation

First, add the known angles: \(57 + 90+1+8q=180\). So, \(148 + 8q=180\).

Step3: Solve for q

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

Answer:

\(q = 4\)