Each of the equal angles of an isosceles triangle is twice as large as the third angle. What is the measure of each angle?

Question

an isosceles triangle has 2 equal sides and angles 

Answer 1

If the third angle is x, the other two angles are 2x

 

The measure of the angles of a triangle must add up to 180 degrees

 

x + 2(2x) = 180

 

x + 4x = 180

 

5x = 180

 

x = 36

 

The other two angles are 2x = 2 * 36 = 72

 

The three angles are 36, 72, and 72 degrees

Answer 2

x+2x+2x=180

5x=180

x=180/5

x=36º third angle

the equal angles are each 2*36=72º