McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Chapter 7.1, Problem 31WE

To determine

To calculate: The measure of each angle, if the ratio of the consecutive angles of a quadrilateral is 5:7:11:13 . Also, draw the quadrilateral.

Expert Solution & Answer

Answer to Problem 31WE

The measure of the angles of the quadrilateral are 50°,70°,110° and 130° .

Explanation of Solution

Given information:

The ratio of the consecutive angles of a quadrilateral is 5:7:11:13 .

Formula Used:

Property of quadrilateral:

The sum of all the angles of a quadrilateral is 360° .

Calculation:

Let A,B,C and D are the angles of a quadrilateral.

So, A+B+C+D=360° .

Consider the ratio of angles of a quadrilateral is 5:7:11:13 .

Let the angles are 5x,7x,11x and 13x .

Now, find the value of x .

5x+7x+11x+13x=360°36x=360°x=360°36x=10°

Now, find the angles.

Substitute 10 for x in the angles are 5x,7x,11x and 13x .

5x=5×10=50

7x=7×10=70

11x=1×10=110

13x=13×10=130

Thus, the measure of the angles of the quadrilateral are 50°,70°,110° and 130° .

The figure of the quadrilateral is:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7.1, Problem 31WE

In the quadrilateral, the sum of the consecutive angles of B and C is 180° and the other pair of the consecutive angles of A and D is also 180° .

So, the line AB and CD are parallel.

Hence, the measure of the angles of the quadrilateral are 50°,70°,110° and 130° .

Chapter 7.1, Problem 30WE

Chapter 7.1, Problem 32WE

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 1CE Ch. 7.1 - Prob. 2CE Ch. 7.1 - Prob. 3CE Ch. 7.1 - Prob. 4CE Ch. 7.1 - Prob. 5CE Ch. 7.1 - Prob. 6CE Ch. 7.1 - Prob. 7CE Ch. 7.1 - Prob. 8CE Ch. 7.1 - Prob. 9CE Ch. 7.1 - Prob. 10CE

Ch. 7.1 - Prob. 11CE Ch. 7.1 - Prob. 12CE Ch. 7.1 - Prob. 13CE Ch. 7.1 - Prob. 14CE Ch. 7.1 - Prob. 15CE Ch. 7.1 - Prob. 16CE Ch. 7.1 - Prob. 17CE Ch. 7.1 - Prob. 18CE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.2 - Prob. 1CE Ch. 7.2 - Prob. 2CE Ch. 7.2 - Prob. 3CE Ch. 7.2 - Prob. 4CE Ch. 7.2 - 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