Middle School

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Circle D is shown with the measures of the minor arcs.

Circle D is shown. Line segments DE, DF, DG, and DH are radii. Lines are drawn to connect the points on the circle and to create secants EF, FG, GH, and HE. The measure of arc EF is 115 degrees, the measure of arc FG is 115 degrees, the measure of arc GH is 65 degrees, and the measure of arc HE is 65 degrees.

Which angles are congruent?

A. ∠EDH and ∠FDG
B. ∠FDE and ∠GDH
C. ∠GDH and ∠EDH
D. ∠GDF and ∠HDG

Answer :

Answer:

The two pairs of congruent angles are ∠EDF and ∠FDG and ∠GDH and HDE.

Explanation:

Congruent angles are angles which have equal measure. In this case, ∠EDF and ∠FDG are both 115°, so they are congruent, Similarly, ∠GDH and ∠HDE are congruent because they both measure 65°.

To learn more about congruent angles, check out https://brainly.com/question/36904886

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