Question

I need to find the measure of the arc

Answer 1

Answer: 126°

Explanation:

`\text{Equation 1:}\ \stackrel\frown{CYE}+\stackrel\frown{CE}=360^o\quad \rightarrow \quad \stackrel\frown{CYE}\ =360\ -\stackrel\frown{CE}\\\\\text{Equation 2:}\ \frac{\stackrel\frown{CYE}-\stackrel\frown{CE}}{2}=52^o\quad \rightarrow \quad \stackrel\frown{CYE}-\stackrel\frown{CE}=104\\\\\text{Use substitution method to solve for}\stackrel\frown{CE}:\\\\(360 - \stackrel\frown{CE})-\stackrel\frown{CE}=104\\\\360-2\stackrel\frown{CE}=104\\\\-2\stackrel\frown{CE}=-254\\\\\stackrel\frown{CE}=126`