Match each example with the corresponding type of power: Expressed …

History Questions
Short Answer
Step by Step Solution
History Questions

Match the example with the correct power Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Expressed Power Implied Power Concurrent Power Reserved Power

Short Answer

A regular octagon has eight equal sides, with each interior angle measuring 135 degrees, totaling 1080 degrees for all interior angles. The exterior angles of a regular octagon are each 45 degrees, while for a regular hexagon, each exterior angle measures 60 degrees.

Step-by-Step Solution

Step 1: Understanding Octagon Angles

To grasp the characteristics of a regular octagon, note that it has eight equal-length sides. This symmetry allows us to determine both the exterior and interior angles. Each interior angle of a regular octagon measures 135 degrees, contributing to a total of 1080 degrees for all interior angles combined.

Step 2: Calculating Exterior Angles of an Octagon

The exterior angles of a regular octagon are equally distributed due to its symmetrical properties. Each exterior angle is calculated by dividing the full angle of a circle among the sides:

  • Exterior Angle = 360 degrees / 8 sides
  • Each Exterior Angle = 45 degrees

Step 3: Exploring Hexagon Angles

When analyzing a regular hexagon, which has six equal sides, it also possesses equal exterior angles. To determine the measure of each exterior angle:

  • Calculate by dividing the full circle: 360 degrees / 6 sides
  • Each Exterior Angle = 60 degrees

Understanding these angle measurements helps in various geometry applications.

Related Concepts

Regular Octagon

A polygon with eight equal-length sides and eight equal angles, where each interior angle measures 135 degrees and the total of all interior angles is 1080 degrees

Exterior Angles

The angles formed between a side of a polygon and the extension of its adjacent side, which for a regular polygon are equal and can be calculated by dividing 360 degrees by the number of sides

Interior Angles

Angles formed by two sides of a polygon that meet at a vertex, with the sum of these angles for an octagon equal to 1080 degrees.

Table Of Contents
  1. Match the example with the correct power Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Expressed Power Implied Power Concurrent Power Reserved Power

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