Question

solve for the value of q.

Explanation:

Step1: Set up equation

Since the two angles form a straight - line, their sum is 180°. So, $(q + 2)+(3q-2)=180$.

Step2: Simplify the left - hand side

Combine like terms: $q+2 + 3q-2=4q$. The equation becomes $4q = 180$.

Step3: Solve for q

Divide both sides of the equation by 4: $q=\frac{180}{4}$.

Answer:

$q = 45$