How do I find angle CAE?

Question

asked Mar 17, 2022 50.3k views

1 Answer

Nemequ · Answer 1 · 2022-03-23T15:01:51+0000

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Step-by-step 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