Answer:
<BOD = 120°
<EOC = 200°
<AOC = 135°
Step-by-step explanation:
Given:
<DOE = 115
°
<AOB = 60
°
<BOC = 75
°
<AOB + <BOD = 180°
so
<BOD = 180° - <AOB = 180° - 60° = 120°
<EOC = <EOA + <AOB + <BOC
As you know <EOA + <DOE = 180°
so
<EOA = 180° - <DOE = 180° - 115° = 65°
Now you find
<EOC = <AOE + <AOB + <BOC
<EOC = 65° + 60° + 75° = 200°
and
<AOC = <AOB + <BOC = 60° + 75° = 135°
