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In a certain polygon, the exterior angle at each vertex measures 45 degrees. How

Practice Questions

Q1
In a certain polygon, the exterior angle at each vertex measures 45 degrees. How many sides does this polygon have?
  1. 4
  2. 5
  3. 8
  4. 10

Questions & Step-by-Step Solutions

In a certain polygon, the exterior angle at each vertex measures 45 degrees. How many sides does this polygon have?
  • Step 1: Understand that the sum of all exterior angles of any polygon is always 360 degrees.
  • Step 2: Know that in this polygon, each exterior angle measures 45 degrees.
  • Step 3: To find the number of sides, divide the total sum of the exterior angles (360 degrees) by the measure of each exterior angle (45 degrees).
  • Step 4: Perform the calculation: 360 divided by 45 equals 8.
  • Step 5: Conclude that the polygon has 8 sides.
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