Question

Suppose that is isosceles with base .Suppose also that and .Find the degree measure of each angle in the triangle.KJL

Answer 1

We know that the base angles in an isoscles triangle are the same. The sum of the angles in a triangle add to 180

< J + < L + < K = 180

Replace L with J since they are the same

< J + < J + < K = 180

2 < J +

2 ( 3x+29) + ( 2x+34) = 180

Distribute

6x+58 + 2x+34 = 180

Combine like terms

8x +92 = 180

Subtract 92 from each side

8x+92-92 = 180-92

8x =88

Divide by 8

8x/8 = 88/8

x =11

Now we can find the measure of each angle