Question about Polygon Angles
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Polygon Angles
Polygon Angles
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
João was building a mosaic with regular polygons and came across a regular pentagon. He would like to know the internal and external angles of this regular pentagon, but he does not know how to calculate these measures without using formulas. a) Help João find the sum of the internal angles of the pentagon by dividing the pentagon into triangles and calculating the sum of the internal angles of each triangle. b) Then, find the measure of an internal angle of the pentagon by dividing the sum of the internal angles found in item a by the number of internal angles of the pentagon (5). c) Finally, calculate the measure of the external angle of the pentagon by subtracting the value found in item b from a right angle (90°).Answer sheet:
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