In the diagram below chords AB and CD intersects at E. If mAC=72 and mAEC=58. how many degrees are in mDB?

44°

Step-by-step explanation:

∠ DEB and ∠ AEC are vertical and congruent

Thus ∠ DEB = 58°

The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is

(DB + AC ) = 58° ( multiply both sides by 2 )

DB + AC = 116°, that is

DB + 72° = 116° ( subtract 72° from both sides )

DB = 44°

black/brown

step-by-step explanation:

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about 0.75 hours

step-by-step explanation: