1. **State the problem:** We have a triangle with angles labeled 12°, 50°, and 70°, and we need to find the values of $x$, $y$, and $z$ which presumably correspond to these angles or sides related to them. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. That is, $$x + y + z = 180^\circ$$ 3. **Identify given angles:** From the problem, the angles are 12°, 50°, and 70°. 4. **Calculate the sum:** $$12^\circ + 50^\circ + 70^\circ = 132^\circ$$ 5. **Check for missing angle:** Since the sum is 132°, the triangle is incomplete or the problem might be asking for $x$, $y$, and $z$ as variables representing these angles. If $x=12^\circ$, $y=50^\circ$, and $z=70^\circ$, then these are the values. 6. **If $x$, $y$, and $z$ represent sides opposite these angles, more information is needed to find their lengths.** **Final answer:** $$x = 12^\circ, \quad y = 50^\circ, \quad z = 70^\circ$$