Question

HURRY!!!!! I NEED HELP!!!!!

Find Arc MN


A. 20

b.60

c.66

d.120

Answer 1

We have been given a circle. We are asked to find the measure of arc MN.

We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:

`\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^(\circ)`

Upon substituting our given values, we will get:

`\widehat{MN}+110^(\circ)+130^(\circ)+54^(\circ)=360^(\circ)`

`\widehat{MN}+294^(\circ)=360^(\circ)`

`\widehat{MN}+294^(\circ)-294^(\circ)=360^(\circ)-294^(\circ)`

`\widehat{MN}=66^(\circ)`

Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.