Answer:
30°
Explanation:
angles on a straight line add up to 180°.
angles in a triangle add up to 180°.
XYZ = 180 - 105 = 75°.
angle YZX = 180 - 2x.
so we have YZX + 2x = 180, YZX = 180 - 2x.
angles in triangle add up to 180:
x + YZX + 75 = 180,
x + (180 - 2x) + 75 = 180,
-x + 180 + 75 = 180,
-x = 180 - 180 - 75 = -75,
x = 75°.
YZX = 180 - 2x = 180 2(75) = 180 - 150 = 30