Answer:
m∠AOB=81°
Step-by-step explanation:
we know that
Point B is in the interior of ∠AOC
so
m∠AOC=m∠AOB+m∠BOC -----> equation A (by addition angle postulate)
we have
m∠AOC=108°
m∠AOB=3(m∠BOC)
substitute the given values in equation A and solve for m∠BOC
108°=3(m∠BOC)+m∠BOC
108°=4(m∠BOC)
m∠BOC=27°
Find the measure of m∠AOB
m∠AOB=3(m∠BOC)
substitute the measure of m∠BOC
m∠AOB=3(27°)=81°
