BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a regular polygon is ( n 2 ) 180 ° n .
a) Express the measure of each exterior angle as the supplement of the interior angle.
b) Simplify the expression in part (a) to show that each exterior angle has a measure of 360 n

Chapter 2.5, Problem 32E, The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the .

To determine

a)

To find:

The measure of each exterior angle as supplement of the interior angle.

Explanation

Given:

The following figure shows the given diagram.

The measure of each interior angle of a regular polygon is (n2)180°n

Approach:

(1). 2 is supplementary of 1.

(2). The sum of measure of two supplementary angles will be 180°.

Calculation:

The measure of each interior angle of a regular polygon is (n2)180°n.

m1=(n2)180°n

In the given figure, 2 is exterior angle to the adjacent interior angle 1

To determine

b)

To simplify:

The expression in part (a) to show that each exterior angle has a measure of 360n.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-2.1 P-11ESect-2.1 P-12ESect-2.1 P-13ESect-2.1 P-14ESect-2.1 P-15ESect-2.1 P-16ESect-2.1 P-17ESect-2.1 P-18ESect-2.1 P-19ESect-2.1 P-20ESect-2.1 P-21ESect-2.1 P-22ESect-2.1 P-23ESect-2.1 P-24ESect-2.1 P-25ESect-2.1 P-26ESect-2.1 P-27ESect-2.1 P-28ESect-2.1 P-29ESect-2.1 P-30ESect-2.1 P-31ESect-2.1 P-32ESect-2.1 P-33ESect-2.1 P-34ESect-2.1 P-35ESect-2.1 P-36ESect-2.2 P-1ESect-2.2 P-2ESect-2.2 P-3ESect-2.2 P-4ESect-2.2 P-5ESect-2.2 P-6ESect-2.2 P-7ESect-2.2 P-8ESect-2.2 P-9ESect-2.2 P-10ESect-2.2 P-11ESect-2.2 P-12ESect-2.2 P-13ESect-2.2 P-14ESect-2.2 P-15ESect-2.2 P-16ESect-2.2 P-17ESect-2.2 P-18ESect-2.2 P-19ESect-2.2 P-20ESect-2.2 P-21ESect-2.2 P-22ESect-2.2 P-23ESect-2.2 P-24ESect-2.2 P-25ESect-2.2 P-26ESect-2.2 P-27ESect-2.2 P-28ESect-2.2 P-29ESect-2.2 P-30ESect-2.2 P-31ESect-2.2 P-32ESect-2.2 P-33ESect-2.2 P-34ESect-2.3 P-1ESect-2.3 P-2ESect-2.3 P-3ESect-2.3 P-4ESect-2.3 P-5ESect-2.3 P-6ESect-2.3 P-7ESect-2.3 P-8ESect-2.3 P-9ESect-2.3 P-10ESect-2.3 P-11ESect-2.3 P-12ESect-2.3 P-13ESect-2.3 P-14ESect-2.3 P-15ESect-2.3 P-16ESect-2.3 P-17ESect-2.3 P-18ESect-2.3 P-19ESect-2.3 P-20ESect-2.3 P-21ESect-2.3 P-22ESect-2.3 P-23ESect-2.3 P-24ESect-2.3 P-25ESect-2.3 P-26ESect-2.3 P-27ESect-2.3 P-28ESect-2.3 P-29ESect-2.3 P-30ESect-2.3 P-31ESect-2.3 P-32ESect-2.3 P-33ESect-2.3 P-34ESect-2.3 P-35ESect-2.3 P-36ESect-2.3 P-37ESect-2.3 P-38ESect-2.4 P-1ESect-2.4 P-2ESect-2.4 P-3ESect-2.4 P-4ESect-2.4 P-5ESect-2.4 P-6ESect-2.4 P-7ESect-2.4 P-8ESect-2.4 P-9ESect-2.4 P-10ESect-2.4 P-11ESect-2.4 P-12ESect-2.4 P-13ESect-2.4 P-14ESect-2.4 P-15ESect-2.4 P-16ESect-2.4 P-17ESect-2.4 P-18ESect-2.4 P-19ESect-2.4 P-20ESect-2.4 P-21ESect-2.4 P-22ESect-2.4 P-23ESect-2.4 P-24ESect-2.4 P-25ESect-2.4 P-26ESect-2.4 P-27ESect-2.4 P-28ESect-2.4 P-29ESect-2.4 P-30ESect-2.4 P-31ESect-2.4 P-32ESect-2.4 P-33ESect-2.4 P-34ESect-2.4 P-35ESect-2.4 P-36ESect-2.4 P-37ESect-2.4 P-38ESect-2.4 P-39ESect-2.4 P-40ESect-2.4 P-41ESect-2.4 P-42ESect-2.4 P-43ESect-2.4 P-44ESect-2.4 P-45ESect-2.4 P-46ESect-2.4 P-47ESect-2.4 P-48ESect-2.4 P-49ESect-2.4 P-50ESect-2.5 P-1ESect-2.5 P-2ESect-2.5 P-3ESect-2.5 P-4ESect-2.5 P-5ESect-2.5 P-6ESect-2.5 P-7ESect-2.5 P-8ESect-2.5 P-9ESect-2.5 P-10ESect-2.5 P-11ESect-2.5 P-12ESect-2.5 P-13ESect-2.5 P-14ESect-2.5 P-15ESect-2.5 P-16ESect-2.5 P-17ESect-2.5 P-18ESect-2.5 P-19ESect-2.5 P-20ESect-2.5 P-21ESect-2.5 P-22ESect-2.5 P-23ESect-2.5 P-24ESect-2.5 P-25ESect-2.5 P-26ESect-2.5 P-27ESect-2.5 P-28ESect-2.5 P-29ESect-2.5 P-30ESect-2.5 P-31ESect-2.5 P-32ESect-2.5 P-33ESect-2.5 P-34ESect-2.5 P-35ESect-2.5 P-36ESect-2.5 P-37ESect-2.5 P-38ESect-2.5 P-39ESect-2.5 P-40ESect-2.5 P-41ESect-2.5 P-42ESect-2.5 P-43ESect-2.5 P-44ESect-2.5 P-45ESect-2.5 P-46ESect-2.5 P-47ESect-2.6 P-1ESect-2.6 P-2ESect-2.6 P-3ESect-2.6 P-4ESect-2.6 P-5ESect-2.6 P-6ESect-2.6 P-7ESect-2.6 P-8ESect-2.6 P-9ESect-2.6 P-10ESect-2.6 P-11ESect-2.6 P-12ESect-2.6 P-13ESect-2.6 P-14ESect-2.6 P-15ESect-2.6 P-16ESect-2.6 P-17ESect-2.6 P-18ESect-2.6 P-19ESect-2.6 P-20ESect-2.6 P-21ESect-2.6 P-22ESect-2.6 P-23ESect-2.6 P-24ESect-2.6 P-25ESect-2.6 P-26ESect-2.6 P-27ESect-2.6 P-28ESect-2.6 P-29ESect-2.6 P-30ESect-2.6 P-31ESect-2.6 P-32ESect-2.6 P-33ESect-2.6 P-34ESect-2.6 P-35ESect-2.6 P-36ESect-2.CR P-1CRSect-2.CR P-2CRSect-2.CR P-3CRSect-2.CR P-4CRSect-2.CR P-5CRSect-2.CR P-6CRSect-2.CR P-7CRSect-2.CR P-8CRSect-2.CR P-9CRSect-2.CR P-10CRSect-2.CR P-11CRSect-2.CR P-12CRSect-2.CR P-13CRSect-2.CR P-14CRSect-2.CR P-15CRSect-2.CR P-16CRSect-2.CR P-17CRSect-2.CR P-18CRSect-2.CR P-19CRSect-2.CR P-20CRSect-2.CR P-21CRSect-2.CR P-22CRSect-2.CR P-23CRSect-2.CR P-24CRSect-2.CR P-25CRSect-2.CR P-26CRSect-2.CR P-27CRSect-2.CR P-28CRSect-2.CR P-29CRSect-2.CR P-30CRSect-2.CR P-31CRSect-2.CR P-32CRSect-2.CR P-33CRSect-2.CR P-34CRSect-2.CR P-35CRSect-2.CR P-36CRSect-2.CR P-37CRSect-2.CR P-38CRSect-2.CR P-39CRSect-2.CR P-40CRSect-2.CR P-41CRSect-2.CR P-42CRSect-2.CR P-43CRSect-2.CR P-44CRSect-2.CR P-45CRSect-2.CR P-46CRSect-2.CR P-47CRSect-2.CT P-1CTSect-2.CT P-2CTSect-2.CT P-3CTSect-2.CT P-4CTSect-2.CT P-5CTSect-2.CT P-6CTSect-2.CT P-7CTSect-2.CT P-8CTSect-2.CT P-9CTSect-2.CT P-10CTSect-2.CT P-11CTSect-2.CT P-12CTSect-2.CT P-13CTSect-2.CT P-14CTSect-2.CT P-15CTSect-2.CT P-16CTSect-2.CT P-17CTSect-2.CT P-18CTSect-2.CT P-19CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 49-62, find the indicated limit, if it exists. 55. limx1xx1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Sketch the graph of each linear equation. a. y=4x2 b. x=1 c. 2x+y=6

Calculus: An Applied Approach (MindTap Course List)

Simplify the expressions in Exercises 97106. 21/a/22/a

Finite Mathematics and Applied Calculus (MindTap Course List)

Prove each identity. cos(x+32)+cos(x32)=0

Trigonometry (MindTap Course List)

In Exercises 16, find the point of intersection of each pair of straight lines. y=3x+4y=2x+9

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Derivative In Exercises 57-82, find the derivative of the function. g(x)=x2e9x

Calculus: Early Transcendental Functions (MindTap Course List)

True or False: A straight (simple) substitution may be used to evaluate 2+lnxxdx.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th