Question

Did you get the same sum for both sets of angle measurements? What do you think that means? Create an equation to represent the situation.

Answer 1

If we know the measure of two of the three angles of a triangle, since the sum of the angles in a triangle aways is 180º, we can write the equation for angles a, b and c:

$\begin{gathered} m\angle a=x \\ m\angle b=y \\ m\angle c=z \\ \text{Then,} \\ 180º=x+y+z \end{gathered}$

Let's suppose we know x and y, then z is:

$z=180º-x-y$