Question

Draw a line AB. At A, draw an arc of length $3cm$ 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 $\angle QAB$. What is the value of $\angle QAB$.

• A. ${45}^{\circ }$
• B. ${60}^{\circ }$
• C. ${75}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

The correct option is D

${120}^{\circ }$

Step 1: Draw a line AB with an arc of length of 3 cm at point O.

Step 2: Draw an arc that intersect the previous arc at P.

Step 3: Draw an arc that intersect the first arc at Q. Join A and Q.

In the above figure
$\angle QAB$ $=$${120}^{\circ }$