Question

Please help it’s due in 10 minutes
I will also venmo you $5

Answer 1

`\arc{PNM} = 222`

Explanation:

Central angle = measure of the arc it subtends

Therefore:

`\arc{PN} = \arc{PM} = 138`

A full circle = 360°

So,

`\arc{PN} + \arc{PM} + \arc{NM} = 360`

Plug in the values

`138 + 138 + \arc{NM} = 360`

`276 + \arc{NM} = 360`

`\arc{NM} = 360 - 276` (subtraction property of equality)

`\arc{NM} = 84`

`\arc{PNM} = \arc{NM} + \arc{PN}`

Plug in the values

`\arc{PNM} = 84 + 138`

`\arc{PNM} = 222`