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This is about exercises on Polygons, Exercises of Geometry

Northwestern University of the Philippines (NWUP)Geometry

The context covered on this exercise are on chapter 1 of Solid Mensuration

Typology: Exercises

2021/2022

Uploaded on 07/03/2023

villamor-dela-cruz-jr
villamor-dela-cruz-jr 🇵🇭

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I. Use the given information to complete the table. Round off your answers to two decimals
places if necessary.
EXERCISE NO. 1
POLYGONS
Name: _______________________________ Date: ____________
Course Year & Section: _________________
Number
of Sides
Sum of Interior
Angle
Measure of ONE
Interior Angle
(Regular Polygon)
Sum of Exterior
Angle
Measure of One
Exterior Angle
(Regular Polygon)
n
90
°
17
24
150
°
156
°
1620
°
5040
°
7.2
°
10
°
120
°
1080
°
pf2

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I. Use the given information to complete the table. Round off your answers to two decimals places if necessary.

EXERCISE NO. 1

POLYGONS

Name: _______________________________ Date: ____________ Course Year & Section: _________________ Number of Sides Sum of Interior Angle Measure of ONE Interior Angle (Regular Polygon) Sum of Exterior Angle Measure of One Exterior Angle (Regular Polygon) n 90 ° 17 24 150 ° 156 ° 1620 ° 5040 ° 7.2 ° 10 ° 120 ° 1080 °

II. Find the Missing values. Show Solution only no need to copy the problem. Box your final answer III. Solve the following Problems. Show Solution only no need to copy the problem. Box your final answer.

  1. Find the number of Diagonals of a regular polygon whose interior angle measures 144 °
  2. The number of diagonals of a regular polygon is 65. Find the perimeter of the polygon if its apothem measures 8 inches.
  3. Name of a regular polygon that has: a. 90 Diagonals b. 135 Diagonals
  4. The width and height of a smaller rectangle is 10 units by 16 units and the width and height of the bigger similar rectangle is 15 units by 24 units. Find the scale factor and the ratio of the perimeters and verify that the two results are the same.
  5. Find the area of each rectangle from number 4. Then find the ratio of the area of smaller polygon to the bigger polygon and verify that it satisfies the area of similar polygons theorem.
  6. ∆ XZY ∆ PZQ , Find ZQ if ZY =10.4 cm, PQ = 7 cm , XY = 14 cm. Y

Q

Z

P

X

  1. For the Given figure below, find the value of x.