   Chapter 2.4, Problem 29E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem Given: Find:  , , and To determine

To find:

The value of x, y, and m5.

Explanation

Given:

m1=xm2=4ym3=2y

And,

m4=2xy40

Figure (1)

Approach:

(1) The sum of linear pair of angles is equal to 180°.

(2) The sum of three angles in a triangle is equal to 180°.

Calculation:

m1+m2=180°

m3+m4=180°

Substitute x for m1, and 4y for m2 in equation (1).

x+4y=180°

Substitute 2y for m3, and 2xy40 for m4 in equation (2).

2y+2xy40°=180°y+2x=220°

Since, the sum of the interior angles of a triangle is 180°.

m2+m3+m5=180°

Multiply equation (3) by 2 and subtract equation (4) from the equation to obtain the value of y.

2x+8y2xy=360°220°7y=140°y=20°

Substitute 20° for y in equation (3) to obtain the value of x

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

Evaluate the integrals in Problems 5-28. Check your answers by differentiating. 13.

Mathematical Applications for the Management, Life, and Social Sciences

Find all values of a such that f is continuo us on : f(x)={x+1ifxax2ifxa

Single Variable Calculus: Early Transcendentals, Volume I

Find the sum of the series. 31. 1e+e22!e33!+e44!

Single Variable Calculus: Early Transcendentals

Find an expression for the mean of the probability density function .

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

Which curve is simple but not closed?

Study Guide for Stewart's Multivariable Calculus, 8th

Domain Find the value of c such that the domain of f(x)=cx2 is [5,5]

Calculus: Early Transcendental Functions (MindTap Course List) 