Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. m∠DFE = 80°. What is the measure of Arc GH?

Solution:

If circle F is congruent to circle J

∠EFD ≅∠GJH

We get

Arc GH ≅ Arc ED

First determine the measure of arc ED

Arc ED = ∠EFD (central angle subtended by the arc)

We get

Arc ED = 80°

Arc GH = 80°

Therefore, the measure of arc GH = 80°.

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. m∠DFE = 80°. What is the measure of Arc GH?

Summary:

Circle F is congruent to circle J, and ∠EFD ≅∠GJH. m∠DFE = 80°. The measure of arc GH is 80°.