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Mathematics 21 Online
OpenStudy (asapt):

Given that triangle MON is equilateral find m

OpenStudy (asapt):

@ganeshie8

OpenStudy (asapt):

@welshfella @Michele_Laino

OpenStudy (michele_laino):

is the triangle NMP a right triangle?

OpenStudy (asapt):

I think so

OpenStudy (michele_laino):

Hint: we have: measure <MOP= 180- measure >MON= 180-60=...?

OpenStudy (asapt):

120

OpenStudy (michele_laino):

furthermore triangle MOP is an isosceles triangle, so: meaure <OMP = measure <OPM

OpenStudy (asapt):

oh ok thanks

OpenStudy (michele_laino):

we have: x+x+120=180

OpenStudy (michele_laino):

so: \[\begin{gathered} 2x + 120 = 180 \hfill \\ \hfill \\ 2x = 180 - 120 \hfill \\ \hfill \\ 2x = 60 \hfill \\ \end{gathered} \] what is x?

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