The third angle in an isosceles triangle is 12 more than 2 times as large as each of the two base angles. Find the measure of each angle.

Question

this is a word problem

Answer 1

Hi Cindy,

 

Let the base angle be x degrees.

Then, the third angle is 2x + 12

Since this is an isosceles triangle, the other base angle is also x degrees.

Their sum must be equal to 180 degrees since it is a triangle.

180 = x + x + (2x + 12)

180 = 4x + 12

168 = 4x

x = 42 degrees is the base angle

2*42 + 12 = 96 degrees is the third angle