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?
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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