1. **State the problem:** We are given two intersecting lines forming an X shape with angles 60° and 35° marked, and we need to find the value of angle $d$ adjacent to the 35° angle on the horizontal ray. 2. **Recall angle rules:** When two lines intersect, opposite (vertical) angles are equal. 3. **Identify vertical angles:** The angle opposite 60° is also 60°. 4. **Use the straight line rule:** Angles on a straight line sum to 180°. 5. **Calculate the angle adjacent to 60°:** $$180^\circ - 60^\circ = 120^\circ$$ 6. **Recognize that this 120° angle is vertical to the angle adjacent to 35° and $d$ combined. So, the sum of 35° and $d$ equals 120°:** $$35^\circ + d = 120^\circ$$ 7. **Solve for $d$:** $$d = 120^\circ - 35^\circ = 85^\circ$$ **Final answer:** $$d = 85^\circ$$