SOLUTION: Two angles of a triangle have the same measure and the third one is 42 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the trian

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Question 1053457: Two angles of a triangle have the same measure and the third one is 42 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles of a triangle have the same measure and the third one is 42 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
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A = angle
A + A + A+42 = 180

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle with 2 equal angles is isosceles
Let +a+ = the angle that is duplicated
The 3rd angle is +a+%2B+42+ degrees
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The sum of the angles is +180+ degrees
+a+%2B+a+%2B+a+%2B+42+=+180+
+3a+%2B+42+=+180+
+3a+=+138+
+a+=+46+
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There are two 46 degree angles