The correct answer is [tex]95[/tex]°.
To solve for [tex]n[/tex], you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures [tex]180[/tex]°, you can subtract the given values from [tex]180[/tex]° to find the measures of the respective supplementary interior angles. That would give you [tex]59[/tex]° [tex](180-121)[/tex] and [tex]36[/tex]° [tex](180-144)[/tex].
Now, knowing that the measure of all the interior angles of a triangle is also [tex]180[/tex]°, you can add the two interior angles you know [tex](59+36)[/tex] and subtract those from [tex]180[/tex]°. Doing so would give you the measure of the missing third angle, which is [tex]85[/tex]°.
Finally, because angle [tex]n[/tex] is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from [tex]180[/tex]° to find [tex]n[/tex]°, which is [tex]180-85[/tex] or [tex]95[/tex]°.
