You are creating a graphic design logo that is made up of pentagons. In the middle you have a large, regular pentagon with all sides that are 8 inches long. You surround the middle design with similar regular polygons some with all sides 4 inches long and some with all sides 5 inches long. What must the measure of the angles be for each of the polygons in order for all the pentagons to be similar?

You are creating a graphic design logo that is made up of pentagons. In the middle you have a large, regular pentagon with all sides that are 8 inches long. You surround the middle design with similar regular polygons some with all sides 4 inches long and some with all sides 5 inches long. What must the measure of the angles be for each of the polygons in order for all the pentagons to be similar?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

The length of a side of an equilateral triangle is x - 4.5 Create a model of an equilateral triangle , making sure to label the lengths of each side
Let's try this again. This time with a six-sided regular polygon. Again, split this into oblique triangles in order to find the area of the entire shape. This time, the length of each side is 2 metres.
What is the altitude of an equilateral triangle with a side of 16 inches?
Can you please help me for this exercise and write the steps for me and circle the answer so that I can understand. That I can solve other exercises like this one.
Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 77 inches. What is the circumference of a cross section through the center of the model of Jupiter?
I don't need explanation but just the answer please. Thank you.
please help with both questions
The US Capitol building has an elliptical room. It is 96 feet long and 46 feet wide. Jack discovered that he could overhear conversations being held at the opposing party leaders desk if he stood in a certain spot in the elliptical chamber. How far away from the party leaders desk did jack have to stand to overhear?
7. Chad is using a ladder that is 10 feet long while Sam is using a ladder 15 feet long. Chad's ladder reaches 7 feet up the wall and Sam's ladder reaches 10 feet up the wall. Do both ladders form similar triangles with the wall and ground? Show your work.
Gina has four straws of different lengths and she is trying to form a right triangle the lengths are 6,5,8 and 10 cm which three lengths should she use?
How would you explain to another student how to find the number of degrees in any polygon with "n" number of sides?
Explain how you identify corresponding parts given two triangles