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MATH / 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 ∠C=47^(∘), then find …

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problem

In triangle ABCABC, MM and NN are the midpoints of BCBC and ACAC, respectively. The perpendicular bisectors of BCBC and ACAC intersect at a point OO inside the triangle. If ∠C=47∘\angle C = 47^\circ, then find the measure of ∠MON\angle MON, in degrees.
Plain-text mathematical notation (without MathML)
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 ∠C=47^(∘), then find the measure of ∠MON, in degrees.
Original LaTeX notation
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 $\angle C = 47^\circ$, then find the measure of $\angle MON$, in degrees.

level

Level 4

type

Geometry

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Source and history

task_id
ca7a4a8f-fb32-5018-b32d-e70e96db48ff
task_key
geometry--test--ca7a4a8f-fb32-5018-b32d-e70e96db48ff
task_revision_id
1
config / split
geometry / test

Official source

initial import