SOLUTION: Two angles of a triangle have the same measure and the third angle is 1/4 the size of each of the other two. Find the measure of each angle. ps....i know the answer is 80

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Question 217916: Two angles of a triangle have the same measure and the third angle is 1/4 the size of each of the other two. Find the measure of each angle.



ps....i know the answer is 80. Question is, how do I work it?

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = common angle,,,,,smaller angle = x/4
.
Remember that the sum of the interior angles of a triangle = 180
.
x+x+x/4 =180
.
2.25x = 180
,
x=80
.
angles of triangle are,,,,,80,,,80,,,20
.
check,,, sum to 180,,,,ok
.