1. Problem: Find $x$ in a circle where angles 110°, 25°, and $x$ are related. 2. Formula: The sum of angles around a point on a circle is 360°. 3. Calculation: $$x = 360 - (110 + 25) = 360 - 135 = 225$$ 4. Problem: Find $x$ in a circle with angles 63° and $x$. 5. Formula: Angles on a straight line sum to 180°. 6. Calculation: $$x = 180 - 63 = 117$$ 7. Problem: Find $x$ in a triangle inscribed in a circle with angles 65°, 76°, and $x$. 8. Formula: Sum of angles in a triangle is 180°. 9. Calculation: $$x = 180 - (65 + 76) = 180 - 141 = 39$$ 10. Problem: Find $x$ in a circle with angles 62°, 71°, and $x$. 11. Formula: Sum of angles around a point is 360°. 12. Calculation: $$x = 360 - (62 + 71) = 360 - 133 = 227$$ 13. Problem: Find $x$ in a circle with angles 122°, 58°, and $x$. 14. Formula: Sum of angles around a point is 360°. 15. Calculation: $$x = 360 - (122 + 58) = 360 - 180 = 180$$ 16. Problem: Find $x$ where an external tangent and an inscribed angle 38° meet. 17. Formula: Angle between tangent and chord equals the inscribed angle on the opposite side. 18. Calculation: $$x = 38$$