Draw a line segment 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 value of $∠ Q A B$ ?

30º

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60º

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90º

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120º

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Solution

The correct option is D
120º

If you follow all the steps, you would get this:

If you measure $∠ Q A B$ , the value which you would get is $120^{\circ}$ .

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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 value of $∠ Q A B$ ?

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The correct option is D 120º If you follow all the steps, you would get this: If you measure ∠QAB, the value which you would get is 120∘.

The correct option is D
120º

If you follow all the steps, you would get this:

If you measure $∠ Q A B$ , the value which you would get is $120^{\circ}$ .