Question

DOE = 115
AOB = 60
BOC = 75
BOD=
EOC=
AOC=

Answer 1

<BOD = 120°

<EOC = 200°

<AOC = 135°

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°