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Frank cuts his rectangular pudding into four triangular slices where angle α is 48°. What is angle β?

Frank cuts his rectangular pudding into four triangular slices where angle α is 48°. What is angle β?

Answer

The sum of angles in a triangle is 180°. In the given rectangle, the diagonals intersect at right angles, forming four right triangles. Therefore, each triangle has a right angle (90°). Since angle α is 48°, angle β can be calculated as follows:

90° - 48° = 42°

Therefore, angle β is 42°.

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