Find the measure of angle Z.

is the same gig as before, the triangle has a total of 180°, so the angle across from Z is 180° - 72° - 45°, or 63°.
since Z and her sister angle are sitting pigeons on a flat-line, they add up to 180°, so Z is 180° - 63°.
We know that sum of interior angles in a triangle is equal to exterior angle.
Hence Z=45+72
Z=117
Hence final answer is angle z= 117 degree