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Mathematics 17 Online
OpenStudy (asapt):

if ON=OL find m

OpenStudy (asapt):

A. 26 degrees B. 48 degrees c. 52 degrees d. 64 degrees @Michele_Laino

OpenStudy (michele_laino):

your triangle is an isosceles triangle, so the angles at the base NL, has to be congruent. Then we can write: \[7x + 8 = 9x - 8\]

OpenStudy (michele_laino):

subtracting 7x from both sides, we get: \[\begin{gathered} 8 = 2x - 8 \hfill \\ \hfill \\ 2x = 16 \hfill \\ \end{gathered} \] please solve for x

OpenStudy (asapt):

8

OpenStudy (michele_laino):

ok! so the measure of angle OLM is: 9*x-8= 9*8-8=64 degrees

OpenStudy (asapt):

so is it a b c or d @Michele_Laino

OpenStudy (michele_laino):

the requested measure x, is given by the subsequent equation: \[\begin{gathered} x + 90 + 64 = 180 \hfill \\ x + 154 = 180 \hfill \\ x = 180 - 154 = ...? \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

more precisely, the measure of the amplitude of the angle OML is: 180-155=...? degrees

OpenStudy (asapt):

26

OpenStudy (michele_laino):

correct!

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