+64 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.
+14995 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
\( \omega= 360°-2\times 90°-\gamma\\ \omega= 360°-2\times 90°-47°\\ \\ {\color{blue} \omega =133°}\)
!
