MATH SOLVE

2 months ago

Q:
# Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.

Accepted Solution

A:

if point is the interior of <AOC ,

then m<AOB + m<BOC = m< AOC ( angle addition postulate ) eq 1

(3m<BOC ) + m <BOC = m <AOC { m<AOB = 3m<BOC)

4m <BOC = 108

m<BOC = 27

m<AOB + m <BOC = m < AOC

m<AOB = 108 - 27

m <AOB = 81

then m<AOB + m<BOC = m< AOC ( angle addition postulate ) eq 1

(3m<BOC ) + m <BOC = m <AOC { m<AOB = 3m<BOC)

4m <BOC = 108

m<BOC = 27

m<AOB + m <BOC = m < AOC

m<AOB = 108 - 27

m <AOB = 81