Subjects geometry

Vx Angle Bisector Aa9D12

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1. The problem asks to identify the term that describes the segment VX in triangle UVW with point X inside such that angles UVX and WVX are both 32°. 2. Given that angles UVX and WVX are equal, point X lies on the angle bisector of angle UVW. 3. The segment VX connects vertex V to point X on the angle bisector, so VX is the angle bisector of angle UVW. 4. Definitions: - Altitude: a perpendicular segment from a vertex to the opposite side. - Angle bisector: a segment that divides an angle into two equal angles. - Perpendicular bisector: a segment that is perpendicular to a side and bisects it. 5. Since VX divides angle UVW into two equal 32° angles, VX is an angle bisector. Final answer: VX is an angle bisector.