1 Answer

Spiral Out · Answer 1 · 2022-02-16T02:57:37+0000

Answer:

$\arc{PNM} = 222$

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

$\arc{PNM} = 84 + 138$

$\arc{PNM} = 222$

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