In rectangle MNPQ, m∠QMP = 2m∠NMP and MP = 12 ft. Find MQ.

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.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

hello! just here for points! though i wish i knew!