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Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle.
Question
Asked 4/9/2014 8:18:22 AM
Updated 4/24/2014 8:01:16 AM
1 Answer/Comment
This conversation has been flagged as incorrect.
Flagged by yeswey [4/24/2014 7:50:35 AM]
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User: Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle.

Weegy: The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
Princeakory|Points 10|

Question
Asked 4/9/2014 8:18:22 AM
Updated 4/24/2014 8:01:16 AM
1 Answer/Comment
This conversation has been flagged as incorrect.
Flagged by yeswey [4/24/2014 7:50:35 AM]
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Rating
3
Let x be the measure of those two equal angles, and y be the measure of the third one, we were given:
2x + y = 180
y = 2x - 36
Institute y in the first equation we have
2x + 2x - 36 = 180
4x = 216
x = 54
y = 2(54) - 36 = 108 - 36 = 72
The measure of each angle for the triangle is 54 degrees, 54 degrees and 72 degrees.
Added 4/24/2014 8:01:16 AM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [4/24/2014 8:08:12 AM]
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