SOLUTION: The measures of the base angles of an isosceles triangle are 3x+5 and 5x-25 and the measure of the vertex angle is 6x-10. Find the measure of each angle.

Question 1019153: The measures of the base angles of an isosceles triangle are 3x+5 and 5x-25 and the measure of the vertex angle is 6x-10. Find the measure of each angle.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The measures of the base angles are congruent for isosceles triangle.

The sum of the measures of the interior angles for any triangle is 180 degrees.

You should first find that x=15 from the first equation; and this MUST agree with the angle sum equation. The two equations seem to NOT agree!
Angle sum,

The problem description does not work.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The measures of the base angles of an isosceles triangle are 3x+5 and 5x-25 and the measure of the vertex angle is 6x-10. Find the measure of each angle.

Congruent angles:
Vertex angle:
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