Asap given: m∠bac = 46° m∠cba = 54° part i: use the given information to determine m∠dec. show all work for full credit. 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.

Given:

m∠BAC = 46° (angle a)

m∠CBA = 54° (angle b)

It is also given that AB is parallel with CD, so that means the points on AB is the same with the points on CD ( corresponding angles).

So ECD=BAC=45 and EDC=CBA=54

And the sum of the interior angle of a triangle is 180 degrees so we can work out that,

46+54+ angle DEC=180

angle DEC=180-46-54

angle DEC=80

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step-by-step explanation:

google dat sis

step-by-step explanation: