Two angles are supplementary. the smaller angle is twelve more than one-half the larger angle. find measure of each angle.
2007-02-22 11:37:01 · 4 answers · asked by Torrent4223 1 in Education & Reference ➔ Homework Help
The smaller angle is: 68
The larger angle is: 112
112+68=180
112/2=56
56+12=68
2007-02-22 11:46:04 · answer #1 · answered by kmnmiamisax 7 · 0⤊ 0⤋
This is how i would do the problem:
First, let the angle = x
smaller angle = x/2 + 12
You know that supplementary angles = 180. So make the equation x + x/2 +12 = 180. In order to get rid of the 2, multiply everything by two..... 2x + x + 24 = 360. Simplify again and you should get 3x = 336 and x would = 112. So, the first angle is 112 degrees and the second is 112/2 +12 which = 68. Hope this helps.
2007-02-22 19:43:36 · answer #2 · answered by sportsgirl931 2 · 0⤊ 0⤋
Answer: Angle#1= 68 and Angle#2=112
A pair of angles that are supplementary equals 180 degrees. The smaller angle will be assigned the variable of "x" and the larger angle will be assigned the variable of "y".
x+y = 180
x = 12 + 0.5y
12 + 0.5y + y = 180
12 + 1.5y = 180
1.5y=180-12
1.5y=168
y = 168 / 1.5 = 112
x = 12 + 0.5(112) = 68
I hope I'm right.
2007-02-22 19:46:48 · answer #3 · answered by chelsea22106 1 · 0⤊ 0⤋
I did tell me when you do
2007-02-22 19:39:12 · answer #4 · answered by Anonymous · 0⤊ 1⤋