xþ 2 xþ 30 þxþ 2 xþ 30 ¼ 180
6 xþ 60 ¼ 180
6 xþ 60 60 ¼ 180 60
6 x¼ 120
61 x
61
¼
120
6
x¼ 208
2 xþ 30 ¼ 2 ð 20 Þþ 30 ¼ 708
208 þ 708 ¼ 908
The measures of the angles are 20 8 ,70 8 , and 90 8.
7 : Letx¼the width of the rectangle
xþ 4 ¼the length of the rectangle
A¼lw
60 ¼ðxþ 4 Þx
60 ¼x^2 þ 4 x
0 ¼x^2 þ 4 x 60
0 ¼ðxþ 10 Þðx 6 Þ
xþ 10 ¼ 0 x 6 ¼ 0
xþ 10 10 ¼ 0 10 x 6 þ 6 ¼ 0 þ 6
x¼ 10 x¼ 6
xþ 4 ¼ 6 þ 4 ¼ 10
The length of the rectangle is 10 inches and the width is 6 inches.
8 : Letx¼the measure of the height
andxþ 7 ¼the measure of the base
LESSON 20 Word Problems in Geometry 249