+0  
 
0
215
1
avatar+62 

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. 

bbelt711  Jul 26, 2017
Sort: 

1+0 Answers

 #1
avatar+7159 
+2

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  !

asinus  Jul 26, 2017
edited by asinus  Jul 26, 2017

6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details