Question

Identify the measure of arc HD◠. HELP ASAP!!

Answer 1

In the triangle, the remaining angle has measure $(180-92-38)^\circ=50^\circ$. Then by the intersecting secants theorem,

$50^\circ=\dfrac{102^\circ-m\widehat{HD}}2\implies\boxed{m\widehat{HD}=2^\circ}$

(assuming 102º refers to the measure of arc PK)