SOLUTION: Two angles of a triangle have the same measure. This measure is equal to one-fourth the measure of the thrid angle. Find the measure of each angle.

Question 230870: Two angles of a triangle have the same measure. This measure is equal to one-fourth the measure of the thrid angle. Find the measure of each angle.
Answer by likaaka(51) (Show Source): You can put this solution on YOUR website!
You must remember that the sum of the interior angles of a triangle equals 180 degrees.
So, if you have two angles that are the same and measure of the third, begin by naming the third angle x
simplify
find least common denominator to combine like terms

now solve for x by multiplying both sides by

x = 120 so the third angle measures 120 degrees, now solve for the other 2 angles
= 30
So the other two angles are 30 degrees
CHECK:
The sum of the interior angles is 180
120 + 30 + 30 = 180
180 = 180
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