To determine the measure of angle 2 (m∠2) given that m∠4 = 31°, we typically need to know the relationship between the angles based on the diagram you're referencing. Unfortunately, I cannot see images, but I can assist you based on common angle relationships.
- If angles 2 and 4 are vertical angles, then m∠2 would also be 31°.
- If they are supplementary, then m∠2 + m∠4 = 180°. Thus, m∠2 = 180° - 31° = 149°.
- If they are complementary, then m∠2 + m∠4 = 90°. Thus, m∠2 = 90° - 31° = 59°.
Based on your choices (59°, 180°, 31°, and 90°), it seems likely that if the angles are at a point where they are complementary, m∠2 would be 59°.
Without the specific arrangement of the angles in your image, the best guess based on common relationships would be 59°. Please check the structure of the angles to confirm the precise relationship.