SOLUTION: A pennant for the sports teams at Lincoln High School is the shape of an isosceles triangle. If the measure of the vertex angle is 18, find the measure of each base angle.

Question 180232: A pennant for the sports teams at Lincoln High School is the shape of an isosceles triangle. If the measure of the vertex angle is 18, find the measure of each base angle.

Answer by eperette(173) (Show Source): You can put this solution on YOUR website!
Concepts you should now:
(1) The sum of the three interior angles of a triangle is 180
(2) An isosceles triangle has two sides that measure the same length (called legs) opposite two congruent angles (called based angles)
Therefore
2x + 18 = 180 , where x represents each base angle
2x+18-18=180-18
2x=162
2x/2=162/2
x=81
each base angle measure 81 degrees
RELATED QUESTIONS
A pennant is in the shape of ann isosceles triangle. Isosceles triangles have two equal... (answered by fcabanski)

The vertex angle of an isosceles triangle is thrice the measure of the vertex... (answered by Alan3354)

What is the measure of a base angle of an isosceles triangle if its vertex angle measures (answered by stanbon)

A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle... (answered by ikleyn)

Nathan made a triangular pennant for the band booster club. The are of the pennant is 80... (answered by checkley77)

the measure of the vertex angle of an isosceles triangle is 48 degrees. find the measure... (answered by rapaljer)

The measure of a base angle of an isosceles triangle is 4 times the measure of the vertex (answered by malakumar_kos@yahoo.com)

if a triangular figure is in the shape of an isosceles right triangle, what is the... (answered by vleith,stanbon)

What is the measure of the vertex angle of an isosceles triangle if one of the base... (answered by Cromlix)