An isosceles triangles non-congruent angle is 16 more than twice the congruent ones. What is the mea

An isosceles triangles non-congruent angle is 16 more than twice the congruent ones. What is the measure of all 3 angles?

Let the congruent angles measurement be c. And the non-congruent angle measurement be n. We're given:

1. n = 2c + 16 <-- Twice means we multiply by 2, and more than means we add 16
2. 2c + n = 180 <-- Since the sum of angles in an isosceles triangle is 180

Substitute (1) into (2):
2c + (2c + 16) = 180

Group like terms:
4c + 16 = 180

Typing this equation into our search engine, we get:
c = 41

Substituting this value into Equation 1, we get
n = 2(41) + 16
n = 82 + 16
n = 98