angle bac measures \$56^\\circ\$ what is the measure of angle bdc? \\…

QUESTION IMAGE

$angle bac measures \$56^\\circ\$ what is the measure of angle bdc? \\…$

Question

angle bac measures \$56^\circ\$
what is the measure of angle bdc?
\$28^\circ\$
\$34^\circ\$
\$56^\circ\$
\$112^\circ\$

Explanation:

Response

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Identify the inscribed angles and their intercepted arc

\[
\angle BAC \text{ and } \angle BDC \text{ are inscribed angles that intercept the same arc, } \overparen{BC}.
\]

Apply the Inscribed Angle Theorem

\[
m\angle BDC = m\angle BAC = 56^\circ
\]
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Answer: