Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 1.8, Problem 25WE

To determine

To calculate:

The equation to describe the given situation:

Expert Solution & Answer

Answer to Problem 25WE

The equation describing the situation is (x+20)+x+2x+4x=360∘ .

Explanation of Solution

Given information:

The ∠D is twice the measure of ∠B and half the measure of ∠C

Calculation:

Let the measures of ∠B be x . Since the angle A exceeds ∠B by 20∘ , the measure of the ∠A will be x+20 :

The measure of ∠D is twice the measure of ∠B

∠D=2x

As ∠D is half the measure of ∠C , the measure of ∠C will be 2 times that is ∠D .

Thus,

∠C=2(2x)∠C=4x

The sum of 4 angles of quadrilateral is 360∘ :

(x+20)+x+2x+4x=360∘

The equation describing the situation is (x+20)+x+2x+4x=360∘ .

Chapter 1.8, Problem 24WE

Chapter 1.8, Problem 26WE

Chapter 1 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY

The equation to describe the given situation:

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To calculate:

The equation to describe the given situation: