SOLUTION: Two angles of a triangle have the same measure. The sum of the measures of these angles is one-half of the third angle. Can you help me find the measures of the angles?

Question 533422: Two angles of a triangle have the same measure. The sum of the measures of these angles is one-half of the third angle. Can you help me find the measures of the angles?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let A = the measure of the first two angles
The 3rd angle will be 180 - A - A = 180 - 2A
Given: sum of the first two is 1/2 the 3rd:
2A = (180 - 2A)/2
Solve for A:
4A = 180 - 2A
6A = 180
A = 30
So the angles are 30, 30 and 120
RELATED QUESTIONS
two angles of a triangle have the same measure. The measure of the third angle is five... (answered by checkley79)

Two angles of a triangle have the same measure and the measure of the third angle is 30... (answered by harpazo)

the sum of the measures of the angles of any triangle is 180. two angles of a triangle... (answered by solver91311)

two angles of a triangle have equal measures but the third angles measure is 36 degrees... (answered by rapaljer)

One angle of a triangle measures 6 degrees more than the second. The third angle measures (answered by Mathtut)

two acute angles have a sum of 90.one angle measures 42.what is the measure of the other... (answered by RAY100)

In a triangle the measure of the first angle is one-half the measure of the second angle. (answered by Mathtut)

In a triangle the measure of the first angle is one-half the measure of the second angle. (answered by Edwin McCravy)

in a triangle, two angles have measures of 17 degrees and 59 degrees. find the measure of (answered by stanbon)