SOLUTION: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 68 more than the measure of the second angle. Use the face

Algebra ->  Angles -> SOLUTION: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 68 more than the measure of the second angle. Use the face      Log On


   

Question 761717: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 68 more than the measure of the second angle. Use the face that the sum of the three measures of the three angels of a triangle is 180 degree to find the measure of each angle. a) the measure of the smallest angle. b) The measure of the second largest angle. c) the measure of the largest angle.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Second angle = x
First angle = 2x
Third angle = x + 68
x + 2x + (x + 68) = 180
4x + 68 = 180
4x = 112
x = 28.
First angle = 56 degrees
Second angle = 28 degrees
Third angle = 96 degrees
Total = 180 degrees.
Hope this helps.
:-)