LunarSoldier
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I need help with this, please

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Sagot :

Here's the solution,

the angles made by same arc on circle's circumference are equal.

So, Angle O = Angle P

( Angles made by arc NM )

=》

[tex]5x - 37 = 3x + 1[/tex]

=》

[tex]5x - 3x = 1 + 37[/tex]

=》

[tex]2x = 38[/tex]

=》

[tex]x = 19[/tex]

now, value of angle at circumference :

=》

[tex]3x + 1[/tex]

=》

[tex](3 \times 19) + 1[/tex]

=》

[tex]57 + 1[/tex]

=》

[tex]58[/tex]

and, we know that the angle made by an arc at center is double the angle made by same arc on its circumference,

so, measure of Arc NM

=》

[tex]58 \times 2[/tex]

=》

[tex]116°[/tex]

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