[tex] \Large \mathbb{SOLUTION:} [/tex]
[tex] \begin{array}{l} \begin{cases} \: \textsf{Based from the figure,} \\ \: \sf x + y = 14\quad (1) \\ \\ \: \textsf{By Two-Tangent Theorem,} \\ \: \sf 9 - x = 17 - y \implies x - y = -8\quad (2)\end{cases} \\ \\ \textsf{Adding (1) and (2), we get} \\ \\ \sf 2x = 6 \\ \boxed{\sf x = 3\ cm} \\ \\ \textsf{It follows that} \\ \\ \sf y = 14 - x \\ \sf y = 14 - 3 \\ \boxed{\sf y = 11\ cm} \end{array} [/tex]
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