A. True or False. 1. Two lines that intersect always form vertical angles. 2. Any two angles with a common vertex are vertical angles. 3. Two right angles cannot be vertical angles. 4. If two angles are vertical, then they are either both acute or both obtuse. 5. Vertical angles are sometimes not congruent.
Answer (2)
Answer:1. True2. False3. False4. False5. FalseStep-by-step explanation:1. **Two lines that intersect always form vertical angles.** - **True.** Vertical angles are the opposite angles formed when two lines intersect.2. **Any two angles with a common vertex are vertical angles.** - **False.** For two angles to be vertical, they must be opposite each other when two lines intersect. Just having a common vertex doesn't make them vertical angles.3. **Two right angles cannot be vertical angles.** - **False.** Two right angles can indeed be vertical angles. When two lines intersect perpendicularly, the vertical angles formed are right angles (90 degrees each).4. **If two angles are vertical, then they are either both acute or both obtuse.** - **False.** Vertical angles can be any combination of equal angles, such as both being acute, both being obtuse, or both being right angles. The key characteristic is that vertical angles are congruent (have the same measure).5. **Vertical angles are sometimes not congruent.** - **False.** Vertical angles are always congruent; they always have the same measure.
Answer: 1. True, 2. False, 3. False, 4. False, 5. FalseStep-by-step explanation:Vertical Angle - They share a vertex, Always Congruent, Made by tow intersecting lines
