Math Word Problems Demystified - A Self Teaching Guide

180 ¼xþ 2 xþ 2 x
 20

180 ¼ 5 x
 20

180 þ 20 ¼ 5 x
 20 þ 20

200 ¼ 5 x

200

5

¼

51 x

51

408 ¼x

2 x¼ 2 ð 40 Þ¼ 808

2 x
 20 ¼ 2 ð 40 Þ
 20 ¼ 608

The measures of the three angles are 40 8 ,60 8 , and 80 8.

5 : Letx¼the measure of one angle

xþ 258 ¼the measure of the other angle

xþxþ 258 ¼ 90 
 25

xþxþ 25 
 25 ¼ 90 
 25

2 x¼ 65

21 x

21

¼

65

2

x¼ 32 : 58

xþ 258 ¼ 32 : 5 þ 25 ¼ 57 : 58

6 : Letx¼the measure of one angle

2 xþ 30 ¼the measure of the second angle

xþ 2 xþ 30 ¼the measure of the third angle

248 LESSON 20 Word Problems in Geometry