SOLUTION: Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees las than the sum of the measures of the base angles.

Question 511718: Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees las than the sum of the measures of the base angles.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees las than the sum of the measures of the base angles.
.
Let x = base angles
then
2x-40 = vertex angle
.
2x + (2x-40) = 180
4x-40 = 180
4x = 220
x = 55 degrees (base angle)
.
vertex angle:
2x-40 = 2(55)-40 = 110-40 = 70 degrees

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