A ladder is $17 \mathrm{m}$ long, when set against a wall of a house, reaches the top of the house. If the foot of the ladder is $8 \mathrm{m}$ away from the house, find the height of the house. 

Find the lengths $AB$ and $AC$ in the given $△ABC$.

The angles of a triangle are in ratio $1:4:7$. Find the angles.

If three angles of a triangle are $\frac{x°}{2}, 3\frac{1}{2}x°$ and $5x°$, then find the value of $x$.

One angle of an isosceles triangle is $90°$. Find the measures of the other two angles.

In the given figure, if $XY\parallel PZ, \angle XYZ=80°, \angle YXZ=30°$ then find the measure of $\angle XZP, \angle PZQ, \angle XZQ$ and $\angle XZY$

In the given figure, $\angle R=38°, \angle QPS=40°$ and $PS\perp QR$. Find the measure of $\angle RPS$ and $\angle Q$.

Stella aunty decided to prepare a cake for her son's birthday. She chose a recipe which included baking with the following ingredients: 

$200 \mathrm{g}$ sugar, $150 \mathrm{g}$ flour, $150 \mathrm{g}$ butter, $100 \mathrm{g}$ milk, $3$ eggs, $5 \mathrm{g}$ baking soda and $1$ teaspoon essence. 

Stella's aunty drew four lines with fruit jam on the cake as shown above. Find the sum of interior angles of all the $4$ triangles formed on the cake?