Question

if two base angles of an isosceles triangle measure 7n-2 and 5n+6, what is the measure of the third angle of the triangle, and what's the equation?

Answer 1

In an isosceles triangle, the measure of the two base angles can be found by setting them equal to each other and solving the equation. The measure of the third angle can be found by subtracting the sum of the two base angles from 180 degrees.

Step-by-step explanation:

In an isosceles triangle, the base angles are congruent, meaning they have the same measure. Let's call the measure of the base angles 7n-2 and 5n+6. Since the two base angles are congruent, we can set them equal to each other:

7n-2 = 5n+6

Now we can solve this equation to find the value of n, and then substitute that value back in to find the measure of the base angles. Once we know the measure of the base angles, we can find the measure of the third angle by subtracting the sum of the two base angles from 180 degrees.