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ABCD is a rectangle. Find the measure of angle α to the nearest degree.

ABCD is a rectangle. Find the measure of angle α to the nearest degree.-example-1

1 Answer

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Answer:

α ≈ 76°

Explanation:

The vertices of a rectangle are right , that is 90°

Using the tangent ratio in right triangle ABC

tanα =
(opposite)/(adjacent) =
(BC)/(AB) =
(12)/(3) = 4, then

α =
tan^(-1) (4) ≈ 76° ( to the nearest degree )

User Chetan Joshi
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