Polygon angles
Edexcel GCSE Maths revision on Polygon angles. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
What is the sum of the interior angles of a regular hexagon?
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Answer: 720
The sum of interior angles is calculated using the formula (n-2) times 180, where n is the number of sides. For a hexagon, n=6, so (6-2) times 180 equals 720 degrees.
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Question 2
Which of these is the value of a single exterior angle of a regular octagon?
- A) Forty-five degrees, found by dividing three-sixty by eight
- B) Sixty-four degrees, found by dividing five-forty by eight
- C) Fifty-five degrees, found by dividing four-forty by eight
- D) Thirty-five degrees, found by dividing two-eighty by eight
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Answer: Forty-five degrees, found by dividing three-sixty by eight
The sum of exterior angles of any polygon is 360 degrees. For a regular octagon, dividing 360 by 8 gives 45 degrees. The other options are incorrect as they rely on incorrect totals or divisions.
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Question 3
How many sides does a regular polygon have if each interior angle measures 140 degrees?
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Answer: 9
If the interior angle is 140 degrees, the exterior angle must be 180 minus 140, which is 40 degrees. Since the sum of exterior angles is 360 degrees, 360 divided by 40 equals 9 sides.
Want to test yourself on the remaining cards for this topic?
13 more questions on Polygon angles — plus mistakes tracking and spaced repetition across the whole Maths spec.