Question: 7. AABC has acute angles and point X is inside AABC. Points P and R are on AB, points T and Q are on BC,

7. AABC has acute angles and point X is inside AABC.

7. AABC has acute angles and point X is inside AABC. Points P and R are on AB, points T and Q are on BC, and points S and U are on CA so that PQ passes through X and is parallel to AC, RS passes through X and is parallel to BC, and TU passes through X is parallel to BA. Prove that VIAABC| = VIAXPR| + VIAXQT| + VIAXSUI

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