The sides of a triangle form three consecutive terms in an arithmetic sequence, with sides of length #2x + 5#, #8x#, #11x + 1#. Determine the measure of the smallest angle within the triangle?
The largest angle is
Set up a systems of equations.
We can now find the sides of the triangle.
The largest angle will be opposite the largest side.
Let's call the side that measures
Hence, the largest angle is
Hopefully this helps!