In circle C with the measure of minor arc arc, B, D, equals, 42, degrees, comma

BD

=42

, find m, angle, B, E, D, .m∠BED.

In a circle, the measure of an inscribed angle is half the measure of its intercepted arc. Since arc BD measures 42 degrees, angle BED (m∠BED) will measure half of that, which is 21 degrees.