This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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6$ angles. A polygon with 6 angles is called a hexagon.
Step 1: Define the types of angles. • An acute angle is an angle that measures less than . • A right angle is an angle that measures exactly . • An obtuse angle is an angle that measures greater than but less than .
Step 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 angles. A polygon with 6 angles is called a hexagon.
Step 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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Define the types of angles. • An acute angle is an angle that measures less than 90^.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.