Question

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

Explanation:

Step1: Set up the equation

Since the sum of the angles is \(180^{\circ}\) (a straight - line angle) and there is a right - angle (\(90^{\circ}\)), we have \((4q - 5)+(5q + 5)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(4q-5 + 5q+5=(4q + 5q)+(-5 + 5)=9q\). So the equation becomes \(9q=90\).

Step3: Solve for \(q\)

Divide both sides of the equation \(9q = 90\) by \(9\): \(q=\frac{90}{9}\).

Answer:

\(10\)