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Find the measure of MN

Find the measure of MN-example-1
User Febin J S
by
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1 Answer

2 votes

Answer:

The measure of arcMN is 60°

Explanation:

All the way around the circle is 360°. Two marked arcs are 100° and 140°. AngleMON and AngleNOP are marked equal, which means that ArcMN and ArcNP are also equal. So we can write an equation:

100+140 + x+x =360

combine like terms.

240 + 2x = 360

subtract 240.

2x = 120

divide by 2

x = 60

ArcMN is 60°

User Evans
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6.7k points