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At two ends of a horizontal line, angles...

At two ends of a horizontal line, angles of equal size are. drawn, and some points on the slanted lines are joined:'(##VPU_HSS_MAT_IX_C07_E01_002_Q01##)'
i) Prove that the parts of the horizontal line and parts of the slanted line are in, the same ratio.
ii) Prove that the two slanted lines at the ends of the horizontal line are also in the same ratio.
iii) Explain how a line of length 6 centimetres can be divided in the ratio '3: 4' using this.

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