Solve for X, Y, and Z: Triangle Geometry with Given Angles 25°, 72°, and 105°

Calculate the values of x, y, and z.

Angle Y complements 180 and we can calculate it since we know the adjacent angle.

Let's calculate it as follows:

$180-105=75$

Now that we found angle Y, we can calculate angle X since we have the other two angles in the same triangle: 72 and 75.

$180-75-72=33$

We can calculate angle Z since we have two angles in the triangle: 25 and 105

The sum of angles in a triangle is 180, so we'll calculate Z as follows:

$180-105-25=50$