Question

solve for the value of q.
(2q - 3)°
(5q + 2)°
answer attempt 1 out of 2
q =

Explanation:

Step1: Identify angle relationship

The two angles \((2q - 3)^\circ\) and \((5q + 2)^\circ\) form a right angle (since there's a right - angle symbol), so their sum is \(90^\circ\). So we can write the equation: \((2q - 3)+(5q + 2)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2q-3 + 5q+2=90\). \(2q+5q-3 + 2=90\), which simplifies to \(7q-1 = 90\).

Step3: Solve for q

Add 1 to both sides of the equation: \(7q-1 + 1=90 + 1\), so \(7q=91\). Then divide both sides by 7: \(q=\frac{91}{7}=13\).

Answer:

\(q = 13\)