Question

find m∠boc. a 64° b 39° c 26° d 51°

Explanation:

Step1: Set up equation

Since \(\angle AOC = 90^{\circ}\), we have \((7x + 2)+(5x + 4)=90\).

Step2: Simplify equation

Combine like - terms: \(7x+5x+2 + 4=90\), so \(12x+6 = 90\).
Subtract 6 from both sides: \(12x=90 - 6=84\).
Divide both sides by 12: \(x=\frac{84}{12}=7\).

Step3: Find \(\angle BOC\)

Substitute \(x = 7\) into \(5x + 4\).
\(\angle BOC=5\times7+4=35 + 4=39^{\circ}\).

Answer:

B. \(39^{\circ}\)