Need geometry . will give !

given: m∠bac = 46° m∠cba = 54°

part i: use the given information to determine m∠dec.

part ii: use complete sentences to explain the steps necessary in solving for m∠dec. justify your explanation by including all theorems, postulates, or definitions used.

DEC = 80

bac + cba + bca = 180

bca = 80

bca = dce = 80 ( vertically opposite angles)

bcd + bca + dce = 180  

bcd = 20

Since BC||DE

bcd = cde = 20 (alternate interior angles)

dce + cde +dec = 180

dec = 80

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse