Question

Lines AB and CD are parallel. If angle W is 105°, what is angle P?

Answer 1

To determine the value of angle P in relation to angle W given that lines AB and CD are parallel, we need more context regarding the positioning of the angles.

If angle W is an exterior angle on line AB (that is, on the side of angle W but outside of the parallel lines), angle P would be a corresponding angle or an alternate interior angle depending on the arrangement of the transversal that intersects the two parallel lines.

1. **If angle W and angle P are corresponding angles:**
- Corresponding angles are equal. Therefore, if angle W = 105°, then angle P also equals 105°.

2. **If angle W and angle P are alternate interior angles:**
- Alternate interior angles are also equal. Therefore, if angle W = 105°, then angle P will be 105° as well.

3. **If angle W and angle P are supplementary (found on the same side of the transversal):**
- In this case, they would add up to 180°. So, angle P = 180° - angle W = 180° - 105° = 75°.

Without further information about the relationship between angle W and angle P, we cannot definitively determine the measure of angle P. However, if they are one of the common angle pairs connected by the parallel lines and a transversal, angle P is likely also 105°. If you could clarify the positions of these angles, I could give a more specific answer.