SOLUTION: Can you help me solve this word problem? The third angle in an isosceles triangle is half as large as each of the two base angles.Find the measure of each angle.

Question 640648: Can you help me solve this word problem?
The third angle in an isosceles triangle is half as large as each of the two base angles.Find the measure of each angle.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The third angle in an isosceles triangle is half as large as each of the two base angles.Find the measure of each angle.
.
In an "isosceles triangle" the two base angles are the same.
Let x = measure of one of the base angles
then
x/2 = measure of third angle
.
x + x + x/2 = 180
multiplying both sides by 2:
2x + 2x + x = 360
5x = 360
x = 72 degrees
.
third angle:
x/2 = 72/2 = 36 degrees
.
solution:
each of the base angle is 72 degrees
third angle is 36 degrees

RELATED QUESTIONS
Each of the equal angles of an isosceles triangle is twice as large as the third angle.... (answered by sudhanshu_kmr)

the third angle in an isosceles triangle is 8 degrees more than twice as large as each of (answered by cleomenius)

The third angle in an isosceles triangle is 20 more than 2 times as large as each of the... (answered by TimothyLamb)

The third angle in an isosceles triangle is 1/4 as large as each of the two base angles.... (answered by vleith)

Could someone please help me with this word problem? The second angle of a triangle is (answered by unlockmath)

The third angle of an isosceles triangle is 8° more than twice as large as each base... (answered by ikleyn)

please help me to solve this word problem!! One of two supplementary angles is 5 times as (answered by Alan3354)

Please help me solve this problem: In angle ABC, angle A and angle B measure exactly the (answered by stanbon)

Hi.. I'm Lavinia and i really need some help with math problems..i would appreciate if... (answered by solver91311)