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Mathematics 19 Online
OpenStudy (anonymous):

Given the figure, find the measures of angles 1 and 2.

OpenStudy (anonymous):

OpenStudy (nikato):

hint: <2= 1/2 (arc CE + arc DF)

OpenStudy (anonymous):

80

OpenStudy (nikato):

to find <1, you should find arc EF first

OpenStudy (anonymous):

how do i find that?

OpenStudy (nikato):

remember the total degrees in a circle?

OpenStudy (anonymous):

\[100+30+60=360?\]

OpenStudy (nikato):

actually 100+90+60+x=360 solve for x which would be arc EF

OpenStudy (anonymous):

oh right!

OpenStudy (nikato):

wait, theres a simpler method what do <1 and <2 form?

OpenStudy (anonymous):

im not sure

OpenStudy (nikato):

dont they form a line?

OpenStudy (anonymous):

yes

OpenStudy (nikato):

and lines have a measure of 180, correct?

OpenStudy (anonymous):

100?

OpenStudy (nikato):

yes

OpenStudy (anonymous):

@nikato thanks for your help :)

OpenStudy (nikato):

no problem

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