Question

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Answer 1

• GIVEN:-

$\large{\sf{\angle\:PQR= 60\degree}}$

• To Do:-

Bisect it.

• SOLUTION:-

We know that:

$\huge{\sf{\frac{1}{2}\large\times60\degree=30\degree}}$

So, to construct an angle of 30º, first construct a 60º angle and then bisect it. Often, we apply the following steps.

• Step 1: Draw the arm AB.

• Step 2: Place the point of the compass at A and draw an arc.

• Step 3: Place the point of the compass at the line AB and draw an arc that cuts the arc drawn in Step 2 at D.

• Step 4: With the point of the compass still at line AB draw an arc near C as shown.

• Step 5: With the point of the compass at D, draw an arc to cut the arc drawn in Step 4 at C.

• Step 6: Join C to A.

(refer to the attachment).

$\large\pink\therefore\boxed{\sf{\pink{The\:\angle\:CAB \: is \:30\degree.}}}$