What´s measure of the $\angle MNQ$ in the figure below

euclidean-geometryplane-geometry

For reference:
Calculate the measure of the $\angle MNQ$

If: H ➔ Orthocenter

M ➔ Midpoint of AB

N ➔ Midpoint of BC

Q ➔ Midpoint of AH

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Follow the drawing with the relationships I found

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Aqua Solution Image:

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Best Answer

Hint: Points $M,N,K,Q$ are concyclic. Why?

Nine point circle

So, we have: $$\angle MNQ = \angle MKQ = \angle MAK = 90^{\circ}- \angle B= 10^{\circ}$$

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