Question

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

Explanation:

Step1: Analyze the relationship between angles

We know that the sum of angles around a point on a straight - line (excluding the full - circle case here) where one angle is a right angle (\(90^{\circ}\)) is \(180^{\circ}\). So, \((q - 3)^{\circ}+90^{\circ}+46^{\circ}=180^{\circ}\).

Step2: Simplify the equation

First, combine the constant terms on the left - hand side: \((q - 3)+90 + 46=180\). Then, \(q-3+136 = 180\), which simplifies to \(q+133=180\).

Step3: Solve for \(q\)

Subtract \(133\) from both sides of the equation \(q+133 - 133=180 - 133\). So, \(q=47\).

Answer:

\(q = 47\)