In a right angle triangle the sum of other two angles is .(write the answer without units)

State True or False. Justify them.

Pythagoras Theorem is applicable to all triangles.

State True or False. Justify them.

One side of a right angled triangle must always be a multiple of $4$.

There are two paths that one can choose to go from Sarah's house to Jame's house. One way is to take $\mathrm{C}$ street, and the other way requires to take $\mathrm{A}$ street and then $\mathrm{B}$ street. If the direct path along $\mathrm{C}$ street is shorter by $k \mathrm{mile}$, find the value of $k$.

To get from point $\mathrm{A}$ to point $\mathrm{B}$ you must avoid walking through a pond. You must walk $34 \mathrm{m}$ south and $41 \mathrm{m}$ east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?(Write the answer in $\mathrm{m}$).

In the rectangle $\mathrm{WXYZ}, \mathrm{XY}+\mathrm{YZ}=17 \mathrm{cm},$and $\mathrm{XZ}+\mathrm{YW}=26 \mathrm{cm}.$ Calculate the length and breadth of the rectangle?