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In triangle ABC, M and N are the midpoints of BC and AC, respectively. The perpendicular bisectors of BC and AC intersect at a point O inside the triangle. If angle C = 47 degrees, then find the measure of angle MON, in degrees. 

 Jul 26, 2017
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In triangle ABC, M and N are the midpoints of BC and AC, respectively. The perpendicular bisectors of BC and AC intersect at a point O inside the triangle. If angle C = \(\gamma \) = 47 degrees, then find the measure of angle MON = \(\omega\), in degrees. 

 

Hello bbelt711


The angular sum in each quadrangle is 360 °.
The angular sum in the square ONCM is 360 °.

Then is

 

\( \omega= 360°-2\times 90°-\gamma\\ \omega= 360°-2\times 90°-47°\\ \\ {\color{blue} \omega =133°}\)

 

laugh  !

 Jul 26, 2017
edited by asinus  Jul 26, 2017

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