1. **Problem:** Find the measure of angle $x$ in a triangle where the other two angles are $50^\circ$ and $60^\circ$. 2. **Formula:** The sum of angles in a triangle is always $180^\circ$. 3. **Calculation:** $$x + 50 + 60 = 180$$ $$x + 110 = 180$$ $$x = 180 - 110$$ $$x = 70^\circ$$ 4. **Answer:** The measure of angle $x$ is $70^\circ$. --- 1. **Problem:** In a right triangle, one acute angle is $30^\circ$. Find the other acute angle. 2. **Formula:** The sum of angles in a triangle is $180^\circ$, and one angle is $90^\circ$. 3. **Calculation:** $$x + 30 + 90 = 180$$ $$x + 120 = 180$$ $$x = 180 - 120$$ $$x = 60^\circ$$ 4. **Answer:** The other acute angle is $60^\circ$. --- 1. **Problem:** Two angles are complementary. If one angle is $35^\circ$, find the other. 2. **Formula:** Complementary angles sum to $90^\circ$. 3. **Calculation:** $$x + 35 = 90$$ $$x = 90 - 35$$ $$x = 55^\circ$$ 4. **Answer:** The other angle is $55^\circ$. --- 1. **Problem:** Two angles are supplementary. If one angle is $110^\circ$, find the other. 2. **Formula:** Supplementary angles sum to $180^\circ$. 3. **Calculation:** $$x + 110 = 180$$ $$x = 180 - 110$$ $$x = 70^\circ$$ 4. **Answer:** The other angle is $70^\circ$.