Question

100 Points! Geometry question. Photo attached. Find the measure. Please show as much work as possible. Thank you!

Answer 1

central m arc MP=118°

Explanation:

here

central m arc MN=2* inscribed m arc MN=2*31=62°

again

central m arc MN+ central m arc MP=180° being linear pair

substituting value

62°+central m arc MP=180°

central m arc MP=180°-62°

central m arc MP=118°