1. The problem asks to identify the term that describes the segment HJ in triangle HIG, given that it splits the angle at vertex H into two angles of 39° and 36°. 2. Important definitions: - An **angle bisector** divides an angle into two equal parts. - A **perpendicular bisector** is a line that divides a segment into two equal parts at a 90° angle. - An **altitude** is a perpendicular segment from a vertex to the opposite side or its extension. 3. Since HJ divides the angle at H into two angles of 39° and 36°, these two angles are not equal. 4. Therefore, HJ is not an angle bisector because it does not split the angle into two equal parts. 5. There is no information indicating that HJ is perpendicular to the opposite side IG, so it is not necessarily a perpendicular bisector or an altitude. 6. Hence, the correct term describing HJ is **none of these**. Final answer: none of these.