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$1. In the given figure \overleftrightarrow{\mathrm{AX}}\|\overleftrightarrow{\mathrm{BY}}\| \overleftrightarrow{\mathrm{CZ}} \| \stackrel{\leftrightarrow}{\mathrm{DU} \| \mathrm{EV}} and \overline{\mathrm{AB}} \cong \overline{\mathrm{BC}} \cong \overline{\mathrm{CD}} \cong \overline{\mathrm{DE}} .If \mathrm{mMN}=1 \mathrm{~cm} then find the length of \overline{\mathrm{LN}} and \overline{\mathrm{LQ}} .$

$ExampleThe bisectors of two angles on the same side of a parallelogram cut each other at right angles.$

$(iv) \mathrm{m} \angle 2 \cong \ldots \ldots$

$1. Prove that a rilateral is a parallelogram if its(a) opposite angles are congruent.$

$2. Take a line segment of length 5.5 \mathrm{~cm} and divide it into five congruent parts.[Hint: Draw an acute angle \angle \mathrm{BAX} . On \overline{\mathrm{AX}} take \overline{\mathrm{AP}} \cong \overline{\mathrm{PQ}} \cong \overline{\mathrm{QR}} \cong \overline{\mathrm{RS}} \cong \overline{\mathrm{ST}} .$

$3. Find the unknowns in the given figure.$

$2. In parallelogram A B C D (i) \mathrm{m} \overline{\mathrm{AB}}$