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if \\(m\\angle doc = 44^{\\circ}\\) and \\(m\\angle cob = 80^{\\circ}\\…

Question

if \\(m\angle doc = 44^{\circ}\\) and \\(m\angle cob = 80^{\circ}\\), find the measure of the indicated arc in circle o.

\\(m\widehat{dc} = ?^{\circ}\\)

Explanation:

Identify the given central angle

$$ m\angle DOC = 44^\circ $$

Apply the central angle theorem

$$ m\widehat{DC} = m\angle DOC $$

Calculate the arc measure

$$ m\widehat{DC} = 44^\circ $$

Answer:

If \(m\angle DOC = 44^\circ\) and \(m\angle COB = 80^\circ\), find the measure of the indicated arc in circle O.

\(m\widehat{DC} =\) <blank>\(44\)</blank>\(^\circ\)