+0  
 
0
444
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
 #1
avatar+7348 
+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

8 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.