In the triangle, the remaining angle has measure [tex](180-92-38)^\circ=50^\circ[/tex]. Then by the intersecting secants theorem,
[tex]50^\circ=\dfrac{102^\circ-m\widehat{HD}}2\implies\boxed{m\widehat{HD}=2^\circ}[/tex]
(assuming 102º refers to the measure of arc PK)
