SOLUTION: Two of the angle measures of an obtuse triangle are congruent. The third angle meauses 120 degrees. What does one of the other angles measure?

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Question 301121: Two of the angle measures of an obtuse triangle are congruent. The third angle meauses 120 degrees. What does one of the other angles measure?
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
The sum of the angles of a triangle is 180 degrees.
Let x = the two angles in this triangle which are congruent.
x + x + 120 = 180
2x + 120 = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30
Each of the other two angles measures 30 degrees.
Here is the proof:
Let x = 30
30 + 30 + 120 = 180
60 + 120 = 180
180 = 180...It checks!

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