Draw a line AB. At A, draw an arc of length 3cm using compass such that it inter

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Draw a line AB. At A, draw an arc of length $3 c m$ using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure $∠ Q A B$ . What is the measure of $∠ Q A B$ ?

Options:

A .

45^{\circ}

B .

60^{\circ}

C .

75^{\circ}

D .

120^{\circ}

Answer: Option D
:
D

Following all the steps mentioned, we obtain the following

On measuring $∠ Q A B$ , we would get the measure of the angle equal to $120^{\circ} .$

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