SOLUTION: The base angles of an isosceles triangle are congruent. If the measure of each of the base angles is twice the measure of the third angel, find the measure of all three angles.
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: The base angles of an isosceles triangle are congruent. If the measure of each of the base angles is twice the measure of the third angel, find the measure of all three angles.
Log On
Question 17095: The base angles of an isosceles triangle are congruent. If the measure of each of the base angles is twice the measure of the third angel, find the measure of all three angles. Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let the third angle be x degrees. Then each base angle is 2x.
The sum of the interior angles in any triangle is 180 degrees.
Simplify and solve for x. Divide both sides by 5.
The measure of the third angle is 36 degrees.
The measure of the base angles are 2x each = 2(36) = 72 degrees.
Check: 36 + 72 + 72 = 180
(