Question

1. 3x + 15 2x

Explanation:

Step1: Set up the equation

Since the two angles \(2x\) and \(3x + 15\) are complementary (they form a right - angle), we have \(2x+(3x + 15)=90\).

Step2: Simplify the equation

Combine like terms: \(2x+3x+15 = 90\), which gives \(5x+15=90\).

Step3: Solve for \(x\)

Subtract 15 from both sides: \(5x=90 - 15\), so \(5x=75\). Then divide both sides by 5: \(x=\frac{75}{5}=15\).

Answer:

\(x = 15\)