Answer:
m∠H=66°
Step-by-step explanation:
Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.
Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.
Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:
m∠F+m∠H=180 degrees
114° +m∠H=180°
m∠H=180° - 114°
m∠H=66°
