A transversal cuts two parallel lines at A and B The two interior angles at A ate bisected and - Maths - Rectilinear Figures

Question

A transversal cuts two parallel lines at A and B The two interior
angles at A ate bisected and so are the two interior angles at B;
the four bisectors form a quadrilateral ACBD Prove that
1) ACBD is a rectangle
2) CD is parallel to the original parallel lines

Mihir Dewangan · Answer

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A transversal cuts two parallel lines at A and B. The two interior angles at A ate bisected and so are the two interior angles at B; the four bisectors form a quadrilateral ACBD. Prove that 1) ACBD is a rectangle 2) CD is parallel to the original parallel lines.

A transversal cuts two parallel lines at A and B. The two interior angles at A ate bisected and so are the two interior angles at B; the four bisectors form a quadrilateral ACBD. Prove that
1) ACBD is a rectangle
2) CD is parallel to the original parallel lines.