Ineed with this am completely lost

Angle DOC is a vertical angle to AOB. Since this is a central angle, arc AB is 50.

Angles AOE, EOD, and DOC are supplementary. 180 - 60 - 50 = 70. Angle AOE is also central, so arc AE is 70.

All arcs combined add to 360, so 360 - 70 - 50 = 240 (we subtracted every other arc besides ECB, which is 240.)

We know angle BOC is vertical to the sum of AOE and EOD, so 60+ 70 = 130. Angle BOC is 130.

it's both, now can you answer my most recent question?

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d