A 2-inch-wide frame is to be built around the regular decagonal window shown.
At what angles \(a\) and \(b\) should the corners of each piece be cut?
Answer (3)
divide the 360 degrees of a circle by the number of equal angles (10) =36 degrees
The **angles **should at 144°
What is a decagon?
A **decagon **is a 2D shape, or polygon that has 10 straight sides, 10 **vertices **(points), and 10 interior angles.
Given that, A 2-inch-wide frame is to be built around the regular **decagonal **window
External angles add up to 360
so each external angle = 360/10 = 36 degrees
**internal angle **= 180 - 36 = 144 degrees
Hence, **angles **at the corners are 144 degrees
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The angles at which the corners of the frame should be cut are both 36 degrees. This is determined by calculating the external angle of the regular decagon, which is found by subtracting the interior angle from 180 degrees. Therefore, each corner is cut at 36 degrees to fit around the decagonal window.
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