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Find the measure of MN. please help!!!!

Find The Measure Of MN Please Help class=

Sagot :

Given:

A circle with center O.

[tex]m\angle MOP=45^\circ, m\angle PON=85^\circ[/tex].

To find:

The measure of arc MN.

Solution:

We know that,

[tex]m\angle MON=m\angle MOP+m\angle PON[/tex]

[tex]m\angle MON=45^\circ+85^\circ[/tex]

[tex]m\angle MON=130^\circ[/tex]

The central angles in equal to the measure of the corresponding arc.

[tex]Arc(MN)=m\angle MON[/tex]

[tex]Arc(MN)=130^\circ[/tex]

Therefore, the measure of arc MN is 130 degrees.

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