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What type of polygon has 3 acute angles, 1 right angle, and 2 obtuse angles? How would you construct it?

Mathematics

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Step-by-step solution

3 steps
  1. Define the types of angles.

    • An acute angle is an angle that measures less than 90∘90^\circ.
    • A right angle is an angle that measures exactly 90∘90^\circ.
    • An obtuse angle is an angle that measures greater than 90∘90^\circ but less than 180∘180^\circ.
  2. Determine the number of angles in the figure.

    The figure needs three acute angles, one right angle, and two obtuse angles. This means the figure will have a total of 3+1+2=63 + 1 + 2 = 6 angles. A polygon with 6 angles is called a hexagon.

  3. Describe how to make such a figure.

    To make such a figure, you would draw a hexagon. At three of its vertices, the interior angles would be acute (sharp corners). At one vertex, the interior angle would be a right angle (a perfect square corner). At the remaining two vertices, the interior angles would be obtuse (wider than a right angle but not flat).

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