SOLUTION: This question is from a college algebra class, but its worded like a geometry problem… "The measure of one angle of a triangle is twice the measure of another, and the third angle

Algebra ->  Triangles -> SOLUTION: This question is from a college algebra class, but its worded like a geometry problem… "The measure of one angle of a triangle is twice the measure of another, and the third angle      Log On


   

Question 773255: This question is from a college algebra class, but its worded like a geometry problem…
"The measure of one angle of a triangle is twice the measure of another, and the third angle is 1/3 of the sum of the measures of the other 2. Find the measures of all three angles.
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of one angle of a triangle is twice the measure of another, and the third angle is 1/3 of the sum of the measures of the other 2. Find the measures of all three angles.
Ans:
Let the first angle be x
Then the second angle is x/2
Third angle = 1/3 the sum of the other 2 = 1/3*(x + x/2) = 1/3 * (3*x/2) = x/2
We know that the sum of the 3 angles in a triangle is 180
So x+%2B+x%2F2+%2B+x%2F2+=+2%2Ax+=+180
x+=+90
So one angle is 90
The second is 90/2 = 45
Third = (90+45)/3 = 45
Hope you got it :)