SOLUTION: Two angles of a triangle have the same measure and the third one is 21 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 1045780: Two angles of a triangle have the same measure and the third one is 21 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!

Let the two angles that are the same be: X
The largest angle then is: X+21
We know that all the angles of a triangle add up to be 180
In words, that would mean:
1st same angle + 2nd same angle + largest angle = 180
An algebraic equation to solve would be:
X%2BX%2B%28X%2B21%29=180
Solving the equation for X we get:
3X%2B21=180
3X%2B21-21=180-21
3X=159
3X%2F3=159%2F3
X=53
This is the measure of the smallest angles, they asked for the measure of the LARGEST angle. The measure of the largest angle is: X+21
53%2B21
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