SOLUTION: The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle. The measure of the second angle is 45 degrees less than the measure of the largest angle. F

Algebra ->  Equations -> SOLUTION: The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle. The measure of the second angle is 45 degrees less than the measure of the largest angle. F      Log On


   



Question 658022: The measure of the smallest angle of a triangle is 1/4 the measure of the largest angle. The measure of the second angle is 45 degrees less than the measure of the largest angle. Find the measure of the angles of the triangle. Ex: x+1/5x+1/2x+10=180 The three angles sum to 180 degrees.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
The measure of the smallest angle of a triangle is 1/4 the measure of the largest anglehighlight%28x%29.
The measure of the second angle is 45 degrees less than the measure of the largest angle.
Question states***
x/4 + (x-45) + x = 180°
(9/4)x = 225
x = 225(4/9)= 100°, the Largest angle. Smallest 25° and other is 55°
and...
100+%2B+25+%2B+55+=+180