Final answer:
To solve for X, the relationship X = 180° - (6x + 1) is used, showing that the sum of the exterior angle and the remote interior angles of a triangle equals 180°.
Step-by-step explanation:
The student is being asked to solve for an angle X using the fact that an exterior angle of a triangle is equal to the sum of the two remote interior angles. Given that 6x + 1 is the exterior angle, the correct relationship to find the value of X is:
X = 180° - (6x + 1)
Therefore, the answer is:
X = 180° - 6x - 1. This equation represents the fact that the sum of the exterior angle and the remote interior angles of a triangle is equal to 180°.