The sum of the three interior angles of a triangle is 180. Suppose one angle is 74 and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.
[tex]sum \: of \: angles = 180 \\ 180 = 74 + 2x \: where \: x \: is \: the \: measure \: of \: the \: other \: angles \\ 180 - 74 = 2x \\ 106 = 2x \\ x = \frac{106}{2} \\ x = 53[/tex]
