SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 40 degrees more than that of the smallest angle. Find

Algebra.Com
Question 1203138: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure
of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39631)   (Show Source): You can put this solution on YOUR website!
Following the description exactly, using x for smallest angle
smallest                 x
"one" angle             3x
the third               x+40
SUM                    180

and you can see quickly what to do.



The answer to the QUESTION is 68 degrees.
smallest           28
"one" angle        84
third              68

Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure
of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
~~~~~~~~~~~~~~~~ 

Let the smallest angle be x degrees.

Then so called "one angle" has the measure of 3x degrees,
while the third angle is (x+40) degrees.


We write the basic equation

    x + 3x + (x+40) = 180 degrees.


From this equation,  

        5x = 180 - 40

        5x =    140,

         x =    140/5 = 28 degrees.


So, the smallest angle is 28 degrees
    the angle called "one angle" is 3*28 = 84 degrees
    and the third angle is 28+40 = 68 degrees.


Thus the largest angle is 84 degrees.


ANSWER.  The largest angle is 84 degrees.

Solved.

------------

Ignore the solution/(the answer) by @josgarithmetic, giving you 68 degrees
as the measure of the greatest angle, since it is incorrect.



RELATED QUESTIONS

One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by ewatrrr)
One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by ewatrrr)
One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by solver91311)
One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by VFBundy,Alan3354)
One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by josgarithmetic)
One angle in a triangle has a measure that is three times as large as the smallest angle. (answered by josgarithmetic)
One angle of a triangle is three times as large as another. The measure of the third... (answered by mananth,Fombitz)
One angle of a triangle is three times as large as another. The measure of the third... (answered by ikleyn)
ONE ANGLE OF A TRIANGLE IS THREE TIMES AS LARGE AS ANOTHER.THE MEASURE OF THE THIRD ANGLE (answered by waynest)