Question

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

Explanation:

Step1: Set up the equation

Since the sum of the two angles is \( 180^{\circ} \) (they form a linear pair), we have \( (q + 2)+(3q - 2)=180 \).

Step2: Simplify the equation

Combine like terms: \( q+2 + 3q-2=180 \), which simplifies to \( 4q=180 \).

Step3: Solve for \( q \)

Divide both sides by 4: \( q=\frac{180}{4}=45 \).

Answer:

\( q = 45 \)