Answer:
MQ=6
Step-by-step explanation:
∠QMP and ∠NMP are complementary. (They are parts of one of the corner angles.)
∠QMP is 2/3 of the right angle (60 deg) and ∠NMP is 1/3 (30 deg).
The leg opposite the 30 deg angle in a right triangle is half the length of the hypotenuse.
That is MQ = 12/2 = 6.