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Answer:
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Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
the square root of three when multiplied by itself if the number three it is more precisely call the principal square root of three the square root of three is an irrational number approved the irrationality
