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 angle, find the measure of all three angles.
Algebra ->
Angles
-> 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 angle, find the measure of all three angles.
Log On
Question 530983: 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 angle, find the measure of all three angles. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! 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 angle, find the measure of all three angles.
Let x = measure of third angle
then
2x = measure of base angle
.
2x + 2x + x = 180
5x = 180
x = 36 degrees (third angle)
.
base angle:
2x = 2(36) = 72 degrees
.
the three angles are:
72, 36 and 72 degrees
