Mahabir Singh Solutions for Chapter: The Triangle and its Properties, Exercise 1: Exercise

If $ABC$ is an isosceles triangle with $AB=AC$ and $AD$ is an altitude, then

Find the measure of the angle x in the given figure.

The given figure shows three identical squares. Find x.
  

In the figure (not drawn to scale), $EFA$ is a right-angled triangle with $\angle EFA={90}^o$ and $FGB$ is an equilateral triangle, find $y-2x$

In the figure (not drawn to scale), $ABC$ and $DEF$ are two triangles, $CA$ is parallel to $FD$ and $CFBE$ is a straight line.
Find the value of $x+y$.

In the figure (not drawn to scale), $ACDF$ is a rectangle and $BDE$ is a triangle. Find $\angle BED$.

In the figure, $ABCD$ is a rectangle, $CEF$ is an equilateral triangle. Find $x$.

Find the measure of $\angle LNM$ in the given figure.