hernandezangelique20 hernandezangelique20
  • 14-02-2021
  • Mathematics
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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 class=

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jimrgrant1 jimrgrant1
  • 14-02-2021

Answer:

α ≈ 76°

Step-by-step explanation:

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

Using the tangent ratio in right triangle ABC

tanα = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{3}[/tex] = 4, then

α = [tex]tan^{-1}[/tex] (4) ≈ 76° ( to the nearest degree )

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