R K Bansal Solutions for Exercise 2: CHAPTERWISE REVISION

Show that the two triangles given in the following figure are congruent.

In the following figure, $AB=AC$, $EC=ED$, $\angle ABF=45°$ and $\angle ABC=70°$.

Find the angles represented by the letters $a, b, c, d, e, f$ and $g$.

In the figure given below, $AB$ is parallel to $CD$ and $CA=CE$.

If angle $ACE=74°$ and angle $EAB=15°$, find the angles $AEB$ and $BCD$.

In an isosceles triangle, the angles are in the ratio $7:4:7$. Find each base angle of the triangle.

Find the angles of an isosceles triangle, if the ratio of the base angle to the vertical angle is $2:5$.

$ABC$ is an equilateral triangle. If $AD$ bisects angle $A$, prove that $AD$ is perpendicular bisector of $BC$.

In the following figure, $AE\parallel BC$. Find values of $x$ and $y$.

$\mathrm{ABC}$ and $\mathrm{BDE}$ are two equilateral triangles such that $\mathrm{D}$ is the mid-point of $\mathrm{BC}$. If $\mathrm{AB}=20 \mathrm{cm}$, find the area of the shaded portion. [Take $\sqrt{3}=1.73$]