R K Bansal Solutions for Exercise 1: EXERCISE

In a pentagon $\mathrm{ABCDE}, \mathrm{AB}$ is parallel to $\mathrm{DC}$ and $\mathrm{A}:\angle \mathrm{E}:\angle \mathrm{D}=3:4:5$. Find angle $E.$

$AB, BC$ and $CD$ are the three consecutive sides of a regular polygon. If $\angle \mathrm{BAC}=15°$; find each interior angle of the polygon.

$AB, BC$ and $CD$ are the three consecutive sides of a regular polygon. If $\angle \mathrm{BAC}=15°$; find each exterior angle of the polygon.

$AB, BC$ and $CD$ are the three consecutive sides of a regular polygon. If $\angle \mathrm{BAC}=15°$; find number of sides of the polygon.

The ratio between an exterior angle and an interior angle of a regular polygon is $2:3$. Find the number of sides in the polygon.

The difference between an exterior angle of $(n-1)$ sided regular polygon and an exterior angle of $(n+2)$ sided regular polygon is $6°$ find the value of $n$.

Two alternate sides of a regular polygon, when produced, meet at right angle. Find the value of each exterior angle of the polygon.

Two alternate sides of a regular polygon, when produced, meet at right angle. Find the number of sides in the polygon.