What is the measure of angle z in this figure?

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z =

2.for the 2nd picture
lines a and b are parallel.

what is the measure of angle m?

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m =
\degree

3.what is the measure of angle x?

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m∠x=
°

Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56 

For the second picture, angle m will be the same as angle z because of the properties involved. Find angle z using the same thought process as above, and m will equal it. =55

The sum of the angles in a triangle is 180°, that's just a property they have. You add the two angles you know, subtract them from 180, and you have x.  =47