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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The measures of the base angles are congruent for isosceles triangle.
3x%2B5=5x-25

The sum of the measures of the interior angles for any triangle is 180 degrees.
3x%2B5%2B5x-25%2B6x-10=180

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,
14x=180%2B10%2B25
14x=215
x=15%265%2F14

The problem description does not work.

Answer by MathTherapy(10551) About Me  (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: highlight_green%28matrix%281%2C2%2C50%5Eo%2C+each%29%29

Vertex angle: highlight_green%2880%5Eo%29