S K Khanuja Solutions for Chapter: Triangle, Exercise 3: Exercise 46

In a $△\mathrm{ABC}$, $\mathrm{\angle }\mathrm{A}+\mathrm{\angle }\mathrm{C}=105°$ and $\mathrm{\angle }\mathrm{A}+\mathrm{\angle }\mathrm{B}=120°$. If the value of  $\mathrm{\angle }\mathrm{B}+\mathrm{\angle }\mathrm{C}-\mathrm{\angle }\mathrm{A}=k°$, then find the value of $k.$

In the given figure, find the measure of $\angle ABC$.

An exterior angle of a triangle is $70°$. The interior opposite angles are in the ratio of $4:3$. If the difference between the largest angle and the smallest angle of the triangle is $k°$, then find the value of $k$.

In the given figure, if the value of $\mathrm{\angle }\mathrm{BAC}+\mathrm{\angle }\mathrm{BDC} =k°$, then find the value of $k.$

The sum of angles of a triangle is equal to how many right angles?

In a hexagon, how many triangles can be formed?

One angle of a triangle is ${50}^{\circ }$ and the other two angles are equal. If the measure of each equal angle is $k^{\circ }$, then find the value of $k$.

Find the length of hypotenuse of a right angled triangle, the other two sides of which measure $9 \mathrm{cm}$ and $12 \mathrm{cm}.$