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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You're on a roll — here's the solution for question 14: The formula for the size of each exterior angle of a regular polygon with n sides is (360^)/(n). a) For a regular polygon with 14 sides: Step 1: Apply the formula for the exterior angle. Exterior angle = (360^)/(n) Substitute n=14: Exterior angle = (360^)/(14) Step 2: Calculate the value. Exterior angle = (180^)/(7) ≈ 25.714^ Exterior angle ≈ 25.71^ (to 2 decimal places) b) For a regular polygon with 24 sides: Step 1: Apply the formula for the exterior angle. Exterior angle = (360^)/(n) Substitute n=24: Exterior angle = (360^)/(24) Step 2: Calculate the value. Exterior angle = 15^ Exterior angle = 15^ Drop the next question!