Draw an angle of 65^ and draw an angle equal to this angle, using ruler and compasses.

Draw an angle of 65^ and draw an angle equal to this angle, using…

Question

Draw an angle of $65^\circ$ and draw an angle equal to this angle, using ruler and compasses.

✓

Given, $\angle\text{B}=65^\circ$

Step of construction are as follows: Step I: Draw a line $l $ and choose a point $P$ on it.

Step II: Place the compass at $B$ and draw an arc to cut the rays of $\angle\text{B}$ at $A$ and $C.$

Step III: Use the same compass setting to draw an arc with $P$ as centre, cutting $l$ at $Q.$

Step IV: Set your compass to the length $AC.$

Step V: Place the compass pointer at $Q$ and draw the arc to cut the previous arc in $R.$

Step VI: Join $PR.$ This gives us $\angle \text{P}.$ It has the same measure as $\angle\text{B.}$

This means $\angle\text{QPR}$ has same measure as $\angle\text{ABC.}$

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S.No.	Name of the tool	Number of lines of symmetry
$i.$	The Ruler.	__________________
$ii.$	The Divider.	__________________
$iii.$	The Compasses.	__________________
$iv.$	The Protactor.	__________________
$v.$	Triangular piece with two equal sides.	__________________
$vi.$	Triangular piece with unequal sides.	__________________