Question

What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end superscript on circle PPP below?

Answer 1

186 is correct on khan academn=y

Answer 2

`\stackrel{\large{\frown}}{ADC} = 186^(\circ)`

Explanation:

Given

See attachment

Required

Determine the measure of
`\stackrel{\large{\frown}}{ADC}`

`The\ sum\ of\ angles\ in\ a\ circle\ is`
`360^(\circ)`.

So, we have:

`\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^(\circ)`

Where:

`\stackrel{\large{\frown}}{APB} = 70^(\circ)`

`\stackrel{\large{\frown}}{BPC} = 104^(\circ)`

Substitute these values in the above equation.

`\stackrel{\large{\frown}}{ADC} + 70^(\circ) +104^(\circ) = 360^(\circ)`

`\stackrel{\large{\frown}}{ADC} + 174^(\circ) = 360^(\circ)`

Collect Like Terms:

`\stackrel{\large{\frown}}{ADC} = 360^(\circ) - 174^(\circ)`

`\stackrel{\large{\frown}}{ADC} = 186^(\circ)`