Answer:
[tex]\displaystyle 68° = m\angle{GTR}[/tex]
Step-by-step explanation:
[tex]\displaystyle [5f + 83]° = [4f + 80]° \hookrightarrow \frac{3}{-1} = \frac{-f}{-1} \\ \\ -3 = f \\ \\ \\ [4[-3] + 80]°; [-12 + 80]° \\ \\ 68° = m\angle{FTH}[/tex]
As you can see, we plugged the m-value into the expression for angle [tex]\displaystyle FTH[/tex]because if you recall, you can tell that angles [tex]\displaystyle FTH\:and\:GTR[/tex]are vertical angles, and accourding to the Vertical Angles Theorem, these angles are considered congruent, therefore sixty-eight degrees is also the measure of angle [tex]\displaystyle GTR.[/tex]
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