Question

Construct the following angles and verify by measuring them by a protractor.
${75}^o$

Answer 1

Step 1: A ray $OA$ is drawn.

Step 2: An arc is drawn with $O$ as a centre.

Step 3: With the same length $OA$ construct an arc from $A$ to $B$ and join $OB\therefore \angle AOB={60}^{\circ }$

Step 4: With the same length $AB$ construct another arc from $B$

Step 5: Construct a perpendicular bisector to another arc which is $D$.Join $OD$

$\therefore \angle AOD={90}^{\circ }$

Step 6: Construct a perpendicular bisector to $BD=\frac{30}{2}={15}^{\circ }$ .Join $OC$

$\therefore \angle AOC={70}^{\circ }$

Thus,$\angle AOC$ is the required angle making ${75}^{\circ }$