Embibe Experts Solutions for Chapter: Constructions, Exercise 4: EXERCISE

 Construct angles of the following measures using a ruler and a pair of compasses.

$45°$

 Construct angles of the following measures using a ruler and a pair of compasses.

$135°$

 Construct angles of the following measures using a ruler and a pair of compasses.

$\left(22\frac{1}{2}\right)°$

Construct angles of the following measures using a ruler and a pair of compasses.

$75°$

Draw a line segment $AB = 5.4 cm$ and mark a point $P$ on it. Draw a line perpendicular to $AB$ through the point $P$.

Draw a line segment $PQ=6.1 cm$. On $PQ$, mark a point $A$ such that $PA = 3.2 cm$. Draw a line perpendicular to $PQ$ through the point $A$.

Draw a line and mark a point $A$ not lying on it. Draw a line perpendicular to through the point $A$.

Draw a line and mark a point $P$ lying above the line and another point $Q$ lying below the line. Draw lines perpendicular to $l$ passing through the points $P$ and $Q$. Do these lines intersect? Verify by extending the lines.