O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Basic Constructions, Exercise 1: Exercise

Draw angle $\angle ABC=125°$ with the help of a protractor. Construct $\angle PQR=\angle ABC$. Measure it and check.

Construct an angle of $75°$. Draw its angular bisector.

Construct an angle of $120°$. Divide it into four equal parts using compasses. Verify using a protractor that each part is equal to $30°$.

Draw a line segment $6.8 \mathrm{cm}$ long and draw its perpendicular bisector using compasses and ruler.

Draw a line segment $AB=8.2 \mathrm{cm}$. Mark a point $M$ on $AB$ such that $AM=5.7 \mathrm{cm}$. Draw a ray perpendicular to $AB$ at $M$.

Draw a line segment $PQ=6.5 \mathrm{cm}$. Mark a point $O$ below it at a sufficient distance. Draw a perpendicular from $O$ to $PQ$.

Draw a line segment $PQ=7 \mathrm{cm}$. Mark a point $O$ above it. Through $O$ draw a line parallel to $PQ$.

Draw a line segment $AB=7 \mathrm{cm}$. Draw $AC$ making an angle of $60°$ with $AB$. Mark $AC=4cm$. Through $C$, draw a line parallel to $AB$.