Question

find ( mangle boc ).
a ( 64^{circ} )
b ( 39^{circ} )
c ( 26^{circ} )
d ( 51^{circ} )

Explanation:

Step1: Set up the equation

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

Step2: Simplify the equation

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

Step3: Find \(m\angle BOC\)

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

Answer:

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