SOLUTION: In an isosceles triangle, the sum of the two congruent angles is thirty less than half the other angle. Find the angles.

Question 600391: In an isosceles triangle, the sum of the two congruent angles is thirty less than half the other angle. Find the angles.
Answer by w_parminder(53) (Show Source): You can put this solution on YOUR website!
Let the congruent angles of the triangle are of measure X degrees
& the third angle is of measure Y degrees
So the angles of the triangle are X, X & Y
According to the question,the sum of the two congruent angles is thirty less than half the other angle
i.e.
X + X =
2X =
4X = Y - 60
OR Y = 4X + 60
as the sum of the angles of a triangle is 180 degrees, so
X + X + Y = 180
X + X + 4X + 60 = 180
6X + 60 = 180
6X = 180 - 60
X = 120/6
X = 20
so Y = 4(20) + 60 = 80 + 60 = 140

So the angles are 20, 20 & 140
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