In a quadrilateral, what is the sum of the measures of all four interior angles?

In Exercises 35–36, the three given points are the vertices of a triangle. Solve each triangle, rounding lengths of sides to the nearest tenth and angle measures to the nearest degree.

A(0, 0), B(-3, 4), C(3, -1)

For a triangle with sides $a$, $b$, and $c$, and angle $C$ opposite side $c$, which equation can be used to solve for $c$ using the Law of Cosines?

Given a triangle with sides $a$, $b$, and $c$, and angle $B$ opposite side $b$, which equation can be used to find the value of $b$ if side $a$ measures 8.7 cm?

Given triangle ABC with sides $a$, $b$, and $c$ opposite angles A, B, and C respectively, which equation can be used to solve for the measure of angle $B$?

Which of the following triangles can you use the Law of Cosines to solve for a missing side?

A rectangular sandbox has sides of length $10$ feet and $8$ feet. If the diagonal of the sandbox measures $14$ feet, which equation using the Law of Cosines can be used to find the angle between the two sides?

Given a right triangle with sides $a$, $b$, and hypotenuse $c$, which equation can be used to solve for $c$ using the Law of Cosines?

In triangle $MLN$, if side $MN$ is $20$ units, side $LN$ is $24$ units, and the included angle $\angle MLN$ is $60°$, what is the length of chord $ML$?