SOLUTION: What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure

Algebra ->  Angles -> SOLUTION: What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure       Log On


   

Question 1049243: What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure of each angle.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Makes no sense.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure of each angle.
----
I assume the three angles are in the same triangle::
f + s + t = 180 degrees
s = 3f
t = 4s
------
Substitute and solve for "s"::
(1/3)s + s + 4s = 180
-------
s + 3s + 12s = 540
16s = 540
s = 33.75 degrees (2nd angle)
f = (1/3)(33.75) = 11.25 degrees (first angle)
t = 4s = 4*33.75 = 135 degrees
---------------------
Cheers,
Stan H.
------------