Question

what is jk?
jk =
submit
work it out

Explanation:

Step1: Identify Angle Bisector and Distances

The angle at \( I \) is bisected (both angles are \( 38^\circ \)), and \( KH \perp IH \), \( JK \perp IJ \). By the Angle - Bisector Theorem, the distances from a point on the angle bisector to the two sides of the angle are equal. So \( JK = KH \).

Step2: Determine the Length of \( JK \)

We know that \( KH = 15 \) (from the diagram). Since \( JK = KH \) (by the Angle - Bisector Theorem, as \( K \) lies on the angle bisector of \( \angle HIJ \) and \( JK \), \( KH \) are the perpendicular distances from \( K \) to \( IJ \) and \( IH \) respectively), then \( JK = 15 \).

Answer:

\( 15 \)