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°

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.