Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Properties of Triangles, Exercise 6: HOTS

One angle of a triangle is the sum of its two other angles. If one of these two angles is half of the third angle, find all the angles of the triangle.

In the adjoining figure, $AB\Vert CE$. Find the values $x$ and $y$.

In the adjoining figure. $l_1\Vert l_2$ and $t_1\Vert t_2$. If $CA\perp t_1$, find the values of $x, y$ and $z$.

In the adjoining figure. $l_1\Vert l_2$ and $t_1\Vert t_2$. If $CA\perp t_1$, find the number of right triangles.

In the adjoining figure, find the number of triangles.

In the adjoining figure, do you find all types of triangles in this figure?

In a $∆ABC$, if $3\angle A=4\angle B=6\angle C, calculate \angle A, \angle B, \angle C.$