[tex]a.\: \overline{RA}=\overline{PA}-\overline{PR} = 2x + 24 - 2x - 6 = 18 \\ \\ b. \: \overline{PM}=\overline{GA}\Leftrightarrow 5x - 2 = 3x + 16\Leftrightarrow x = 9\Rightarrow \overline{PM} = 43 \\ \\ c. \: \hat{P}+\hat{G}=180°\Leftrightarrow 2x + 15 + 3x + 25 = 180\Leftrightarrow x = 28\Rightarrow \hat{P} = 71°,\hat{G} = 109° \\ \\ d. \: \widehat{PAM}=180°-\widehat{APM}-\widehat{AMP}=180°-80°-70°=30°[/tex]
