Question

Circle D is shown with the measures of the minor arcs. Which angles are congruent?

Answer 1

the answer is c <GDH and <EDH because they are congruent to each other and i just took the test. :)

Answer 2

we know that

m∠EDF=$m\ arc \ EF=115$°------> by central angles

m∠FDG=$m\ arc \ FG=115$°------> by central angles

m∠EDH=$m\ arc \ HE=65$°------> by central angles

m∠GDH=$m\ arc \ HG=65$°------> by central angles

so

The congruent angles are

m∠EDF=m∠FDG

m∠EDH=m∠GDH

therefore

the answer is

m∠EDH=m∠GDH