Question

what is the measure of \\(\overarc{ced}\\)?
\\(\bigcirc\\) \\(106^\circ\\)
\\(\bigcirc\\) \\(108^\circ\\)
\\(\bigcirc\\) \\(148^\circ\\)
\\(\bigcirc\\) \\(212^\circ\\)

Explanation:

Step1: Find remaining central angle

A full circle is $360^\circ$. Subtract the given angles:
$360^\circ - 160^\circ - 52^\circ = 148^\circ$

Step2: Sum angles for arc $\overparen{CED}$

Add the $148^\circ$ arc and the $160^\circ$ arc:
$148^\circ + 160^\circ = 212^\circ$

Answer:

212°