SOLUTION: The base angles of an isosceles triangle are congruent. The measure of each of the base angles is twice the measure of the third angle. Find the measures of all three angles.

Question 192648This question is from textbook
: The base angles of an isosceles triangle are congruent. The measure of each of the base angles is twice the measure of the third angle. Find the measures of all three angles. This question is from textbook

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the measure of the vertex angle be x, then each of the base angles would be 2x.
The sum of the three angles in any triangle is 180 degrees, so we can add the three angles in the isosceles triangle:
x + 2x + 2x = 180 Simplify.
5x = 180
x = 36 This is the measure of the vertex angle.
2x = 72 This is the measure of each base angle.
RELATED QUESTIONS
The base angles of an isosceles triangle are congruent. If the measure of each of the... (answered by Earlsdon)

The base angles of an isosceles triangle are congruent. If the measure of each of the... (answered by josmiceli)

The base angles of an isosceles triangle are congruent. If the measure of each of the... (answered by unlockmath)

The base angles of an isosceles triangle are congruent. If the measure of each of the... (answered by nerdybill)

The base angles of an isosceles triangle are congruent. If the measure of each of the... (answered by Alan3354)

The base angles of an isosceles triangle each measure 30 degrees. What is the measure of... (answered by Alan3354)

If the base angles of an isosceles triangle are congruent and the measure of the base... (answered by rfer)

The measure of the vertex angle of an isosceles triangle is ten more than twice its one... (answered by Alan3354)

what is the measure of the vertex angle of an isosceles triangle if one isosceles... (answered by Alan3354)