Chapter 5.1, Problem 25E

BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

If the measures of the angles of a quadrilateral are in the ratio of 3:4:5:6, find the measure of each angle.

To determine

**To find:**

The measures of angles of a quadrilateral.

Explanation

**Approach:**

1) According the property of ratios, unknown quantities in the ratio *a*:*b*:*c*:*d* should be represented by *ax*, *bx*, *cx* and *dx*.

2) The angle sum property of quadrilateral states that the sum of the angles of a quadrilateral is 360Â°.

**Calculation:**

It is given that the measures of the angles of a quadrilateral are in the ratio of 3:4:5:6.

Use the property of ratios.

Let the measures of the angles of a quadrilateral are 3*x*, 4*x*, 5*x* and 6*x*.

Use the angle sum property of quadrilateral.

Sect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-9ESect-5.1 P-10E

Sect-5.1 P-11ESect-5.1 P-12ESect-5.1 P-13ESect-5.1 P-14ESect-5.1 P-15ESect-5.1 P-16ESect-5.1 P-17ESect-5.1 P-18ESect-5.1 P-19ESect-5.1 P-20ESect-5.1 P-21ESect-5.1 P-22ESect-5.1 P-23ESect-5.1 P-24ESect-5.1 P-25ESect-5.1 P-26ESect-5.1 P-27ESect-5.1 P-28ESect-5.1 P-29ESect-5.1 P-30ESect-5.1 P-31ESect-5.1 P-32ESect-5.1 P-33ESect-5.1 P-34ESect-5.1 P-35ESect-5.1 P-36ESect-5.1 P-37ESect-5.1 P-38ESect-5.1 P-39ESect-5.1 P-40ESect-5.1 P-41ESect-5.1 P-42ESect-5.1 P-43ESect-5.2 P-1ESect-5.2 P-2ESect-5.2 P-3ESect-5.2 P-4ESect-5.2 P-5ESect-5.2 P-6ESect-5.2 P-7ESect-5.2 P-8ESect-5.2 P-9ESect-5.2 P-10ESect-5.2 P-11ESect-5.2 P-12ESect-5.2 P-13ESect-5.2 P-14ESect-5.2 P-15ESect-5.2 P-16ESect-5.2 P-17ESect-5.2 P-18ESect-5.2 P-19ESect-5.2 P-20ESect-5.2 P-21ESect-5.2 P-22ESect-5.2 P-23ESect-5.2 P-24ESect-5.2 P-25ESect-5.2 P-26ESect-5.2 P-27ESect-5.2 P-28ESect-5.2 P-29ESect-5.2 P-30ESect-5.2 P-31ESect-5.2 P-32ESect-5.2 P-33ESect-5.2 P-34ESect-5.2 P-35ESect-5.2 P-36ESect-5.2 P-37ESect-5.2 P-38ESect-5.2 P-39ESect-5.2 P-40ESect-5.3 P-1ESect-5.3 P-2ESect-5.3 P-3ESect-5.3 P-4ESect-5.3 P-5ESect-5.3 P-6ESect-5.3 P-7ESect-5.3 P-8ESect-5.3 P-9ESect-5.3 P-10ESect-5.3 P-11ESect-5.3 P-12ESect-5.3 P-13ESect-5.3 P-14ESect-5.3 P-15ESect-5.3 P-16ESect-5.3 P-17ESect-5.3 P-18ESect-5.3 P-19ESect-5.3 P-20ESect-5.3 P-21ESect-5.3 P-22ESect-5.3 P-23ESect-5.3 P-24ESect-5.3 P-25ESect-5.3 P-26ESect-5.3 P-27ESect-5.3 P-28ESect-5.3 P-29ESect-5.3 P-30ESect-5.3 P-31ESect-5.3 P-32ESect-5.3 P-33ESect-5.3 P-34ESect-5.3 P-35ESect-5.3 P-36ESect-5.3 P-37ESect-5.3 P-38ESect-5.3 P-39ESect-5.3 P-40ESect-5.3 P-41ESect-5.3 P-42ESect-5.3 P-43ESect-5.4 P-1ESect-5.4 P-2ESect-5.4 P-3ESect-5.4 P-4ESect-5.4 P-5ESect-5.4 P-6ESect-5.4 P-7ESect-5.4 P-8ESect-5.4 P-9ESect-5.4 P-10ESect-5.4 P-11ESect-5.4 P-12ESect-5.4 P-13ESect-5.4 P-14ESect-5.4 P-15ESect-5.4 P-16ESect-5.4 P-17ESect-5.4 P-18ESect-5.4 P-19ESect-5.4 P-20ESect-5.4 P-21ESect-5.4 P-22ESect-5.4 P-23ESect-5.4 P-24ESect-5.4 P-25ESect-5.4 P-26ESect-5.4 P-27ESect-5.4 P-28ESect-5.4 P-29ESect-5.4 P-30ESect-5.4 P-31ESect-5.4 P-32ESect-5.4 P-33ESect-5.4 P-34ESect-5.4 P-35ESect-5.4 P-36ESect-5.4 P-37ESect-5.4 P-38ESect-5.4 P-39ESect-5.4 P-40ESect-5.4 P-41ESect-5.4 P-42ESect-5.4 P-43ESect-5.4 P-44ESect-5.4 P-45ESect-5.5 P-1ESect-5.5 P-2ESect-5.5 P-3ESect-5.5 P-4ESect-5.5 P-5ESect-5.5 P-6ESect-5.5 P-7ESect-5.5 P-8ESect-5.5 P-9ESect-5.5 P-10ESect-5.5 P-11ESect-5.5 P-12ESect-5.5 P-13ESect-5.5 P-14ESect-5.5 P-15ESect-5.5 P-16ESect-5.5 P-17ESect-5.5 P-18ESect-5.5 P-19ESect-5.5 P-20ESect-5.5 P-21ESect-5.5 P-22ESect-5.5 P-23ESect-5.5 P-24ESect-5.5 P-25ESect-5.5 P-26ESect-5.5 P-27ESect-5.5 P-28ESect-5.5 P-29ESect-5.5 P-30ESect-5.5 P-31ESect-5.5 P-32ESect-5.5 P-33ESect-5.5 P-34ESect-5.5 P-35ESect-5.5 P-36ESect-5.5 P-37ESect-5.5 P-38ESect-5.5 P-39ESect-5.6 P-1ESect-5.6 P-2ESect-5.6 P-3ESect-5.6 P-4ESect-5.6 P-5ESect-5.6 P-6ESect-5.6 P-7ESect-5.6 P-8ESect-5.6 P-9ESect-5.6 P-10ESect-5.6 P-11ESect-5.6 P-12ESect-5.6 P-13ESect-5.6 P-14ESect-5.6 P-15ESect-5.6 P-16ESect-5.6 P-17ESect-5.6 P-18ESect-5.6 P-19ESect-5.6 P-20ESect-5.6 P-21ESect-5.6 P-22ESect-5.6 P-23ESect-5.6 P-24ESect-5.6 P-25ESect-5.6 P-26ESect-5.6 P-27ESect-5.6 P-28ESect-5.6 P-29ESect-5.6 P-30ESect-5.6 P-31ESect-5.6 P-32ESect-5.6 P-33ESect-5.6 P-34ESect-5.6 P-35ESect-5.6 P-36ESect-5.6 P-37ESect-5.6 P-38ESect-5.6 P-39ESect-5.6 P-40ESect-5.6 P-41ESect-5.6 P-42ESect-5.CR P-1CRSect-5.CR P-2CRSect-5.CR P-3CRSect-5.CR P-4CRSect-5.CR P-5CRSect-5.CR P-6CRSect-5.CR P-7CRSect-5.CR P-8CRSect-5.CR P-9CRSect-5.CR P-10CRSect-5.CR P-11CRSect-5.CR P-12CRSect-5.CR P-13CRSect-5.CR P-14CRSect-5.CR P-15CRSect-5.CR P-16CRSect-5.CR P-17CRSect-5.CR P-18CRSect-5.CR P-19CRSect-5.CR P-20CRSect-5.CR P-21CRSect-5.CR P-22CRSect-5.CR P-23CRSect-5.CR P-24CRSect-5.CR P-25CRSect-5.CR P-26CRSect-5.CR P-27CRSect-5.CR P-28CRSect-5.CR P-29CRSect-5.CR P-30CRSect-5.CR P-31CRSect-5.CR P-32CRSect-5.CR P-33CRSect-5.CR P-34CRSect-5.CR P-35CRSect-5.CR P-36CRSect-5.CR P-37CRSect-5.CR P-38CRSect-5.CR P-39CRSect-5.CR P-40CRSect-5.CR P-41CRSect-5.CR P-42CRSect-5.CT P-1CTSect-5.CT P-2CTSect-5.CT P-3CTSect-5.CT P-4CTSect-5.CT P-5CTSect-5.CT P-6CTSect-5.CT P-7CTSect-5.CT P-8CTSect-5.CT P-9CTSect-5.CT P-10CTSect-5.CT P-11CTSect-5.CT P-12CTSect-5.CT P-13CTSect-5.CT P-14CTSect-5.CT P-15CTSect-5.CT P-16CTSect-5.CT P-17CT

Calculus: Early Transcendental Functions

Finite Mathematics and Applied Calculus (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Finite Mathematics

Precalculus: Mathematics for Calculus (Standalone Book)

Essentials Of Statistics

Calculus: An Applied Approach (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Applied Calculus

Calculus (MindTap Course List)

Understanding Basic Statistics

Intermediate Algebra

Elementary Technical Mathematics

Mathematical Excursions (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Multivariable Calculus

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

Calculus: Early Transcendentals

Single Variable Calculus

Single Variable Calculus: Early Transcendentals, Volume I

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Calculus of a Single Variable

Contemporary Mathematics for Business & Consumers

Calculus: Early Transcendental Functions (MindTap Course List)

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

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Multivariable Calculus, 8th

Multivariable Calculus

Calculus (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

College Algebra (MindTap Course List)

Mathematics For Machine Technology

Research Methods for the Behavioral Sciences (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Introduction To Statistics And Data Analysis