Question bank: Polygon Angles

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Question 1:

Easy

What is the measure of the sum of the interior angles of a regular hexagon?

Polygon Angles

Question 2:

Very Easy

A square has the shape of a regular pentagon, and you are analyzing the arrangement of its luminaires. By measuring the angles formed by the luminaires at the vertices, you realize that all angles are equal. Considering that the internal angles of a regular pentagon have the same measure, determine the measure of each internal angle of the square's vertices.

Polygon Angles

Contextualized Question

Calculus Question

Question 3:

Medium

Polygon Angles

Contextualized Question

Question 4:

Easy

The sum of the internal angles of a polygon with seven sides measures _______.

Polygon Angles

Basic Calculus

Question 5:

Hard

When studying the construction of a new theme park, a group of 7th grade students from Elementary School carried out an interdisciplinary project involving Mathematics and Geometry. They designed an area that contains a large regular polygon, and one of the proposed challenges was to determine the number of sides the polygon should have so that, when divided into triangles by its sides, each of these triangles would have an internal angle that is twice its external angle. Considering that the external angle of a regular polygon is constant and is obtained by the formula 360° divided by the number of sides of the polygon, calculate how many sides the polygon will have to meet this condition. In addition, explain how the relationship between internal and external angles of regular polygons can be used to design structures that require rigid support, such as in architecture and engineering.

Polygon Angles

Multidisciplinary Question

IARA TIP

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