Question

question 6
if m∠bof = 26 and m∠fog = 38, then what is the measure of ∠bog? the diagram is not to - scale

o a 12
o b 64
o c 52
o d 76

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle BOG=\angle BOF+\angle FOG$.

Step2: Substitute given angle - measures

Given $\angle BOF = 26^{\circ}$ and $\angle FOG=38^{\circ}$, then $\angle BOG=26 + 38$.

Step3: Calculate the sum

$26+38 = 64$.

Answer:

B. 64