Final answer:
The question seems to contain a typo but under the assumption that the question aims to inquire about a different measure, not enough information is provided. If angle HOP is given as 86 degrees, then its measure is still 86 degrees.
Step-by-step explanation:
The question appears to be about finding the measure of angle HOP in quadrilateral HOPE that is inscribed in circle OA. However, there seems to be a typo since the measure of angle HOP was given as 86 degrees. Assuming this was repeated in error and we're meant to find another angle, we can proceed based on the properties of inscribed angles and quadrilaterals. In any inscribed quadrilateral, the opposite angles are supplementary (they add up to 180 degrees). Given that angle OHE is 64 degrees, we usually would need the measure of one more angle to find the remaining angles in the quadrilateral.
However, to directly answer the question provided with the data given, if m< HOP is initially 86 degrees as stated, then the measure of angle HOP remains 86 degrees.