1 Answer

Jacobsa · Answer 1 · 2021-03-03T17:41:36+0000

Answer:

c 107

Explanation:

Chords BC and DC intersects at O.

The measure of the angle DOC is one half the sum of the measure of the arcs intercepted by angle DOC and its vertical angle.

$m \angle \: DOC\: = (1)/(2) (^\frown _(BJE) + ^\frown _(DC ))$

We substitute the arc measures to obtain:

$m \angle \: DOC\: = (1)/(2) (170 + 44)$

$m \angle \: DOC\: = (1)/(2) (214)$

$m \angle \: DOC\: = 107 \degree$

The correct answer is C

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