Question 711912: I am having trouble with a word problem and don't even know where to begin. Here is the problem.
A parking lot is in the shape of a triangle. The second angle is four times the size of the first angle. The third angle is 45 degrees less then the sum of the first and second angles. What are the degrees of all three angles?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A parking lot is in the shape of a triangle.
Let the angles be: A, B, C; write an equation for each statement
:
The second angle is four times the size of the first angle.
B = 4A
:
The third angle is 45 degrees less then the sum of the first and second angles.
C = A + B - 45
Replace B with 4A (From the 1st statement)
C = A + 4a - 45
C = 5A - 45
:
We know, A+B+C = 180, replace B with 4A, replace c with(5A-45)\
A + 4A + (5A-45) = 180
10A = 180 + 45
10a = 225
A = 225/10
A = 22.5
then
B = 4(22.5)
B = 90
and
C = 22.5 + 90 - 45
C = 67.5
:
:
See if that adds up: 22.5 + 90 + 67.5 = 180
|
|
|
