Answer: 28 degrees
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Explanation:
Angle DAB and angle ABC are congruent angles due to the parallel lines (note they are alternate interior angles).
So angle DAB = 47 since angle ABC = 47.
Let angle CAE be equal to x for now.
The three angles DAB, CAB, and CAE all add up and combine to form a straight angle which is 180 degrees.
We'll use this fact to find x
(angle DAB) + (angle CAB) + (angle CAE) = 180
(47) + (105) + (x) = 180
x + 152 = 180
x + 152-152 = 180-152 .... subtract 152 from both sides
x = 28
angle CAE = 28 degrees
