posted by jess .
A triangle is such that the largest angle is 11 times the smallest angle. The third angle is 27° less than the largest angle. Find the measure of each angle. (Enter solutions from smallest to largest.)
Let x = smallest angle, then 11x = largest and 11x - 27º is the third.
x + 11x + (11x-27º) = 180º
Solve for x, then the other angles.
Let the smallest angle be x
Then the largest angle is 11x
Therefore the third angle is 11x-27 as the
Third angle is 27 less than the largest angle.
By angle sum property of a triangle we get
X +11x+11x-27 =180 degrees
We clearly get the angles as 9,99,72
Hope this satisfies your qurstion