Answer:
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of [tex]\stackrel{\large{\frown}}{ADC}[/tex]
[tex]The\ sum\ of\ angles\ in\ a\ circle\ is[/tex] [tex]360^{\circ}[/tex].
So, we have:
[tex]\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}[/tex]
Where:
[tex]\stackrel{\large{\frown}}{APB} = 70^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{BPC} = 104^{\circ}[/tex]
Substitute these values in the above equation.
[tex]\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}[/tex]
Collect Like Terms:
[tex]\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
