SOLUTION: Find the number of degrees in each angle of a traingle if the number of degrees in the first angle is two less than four times the number of degrees in the second angle and the num
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Question 100788: Find the number of degrees in each angle of a traingle if the number of degrees in the first angle is two less than four times the number of degrees in the second angle and the number of degrees in the third angle is 5 less than 1/2 the number of degrees in the second. Answer by doukungfoo(195) (Show Source):
You can put this solution on YOUR website! Note: the sum of the three angles of any triangle will always equal 180 degrees.
Lets start by calling the second angle x second angle = x
Now define the other angles in terms of x
Given: first angle is two less than four times the second
So since we have stated that the second angle is x first angle = 4x-2
Given: third angle is 5 less than 1/2 the second third angle = x/2 - 5
We have already stated that the sum of all three angles equals 180
so now we can write and equation to solve for x
(first angle) + (second angle) + (thrid angle) = 180
(4x-2) + (x) + (x/2-5) = 180 Answer: second angle is 34 degrees
now find the other angles for x=34
first angle = 4x-2
first angle = 4*34-2
first angle = 134 Answer: first angle is 134 degrees
third angle = x/2 - 5
third angle = 34/2 - 5
third angle = 12 Answer: third angle is 12 degrees
check:
(first angle) + (second angle) + (thrid angle) = 180
134 + 34 + 12 = 180
180 = 180
