question_answer

How will you construct a \[150{}^\circ \] angle.

Answer:

Steps for construction:

Step I: Firstly draw a line AB and mark a point O on it.

Step II: With O as centre and any convenient radius, draw a semi-circle, cutting the line AB at P and S.

Step III: With P as centre and same radius draw an arc cutting the semi-circle at Q.

Step IV: With Q as centre and same radius, draw an arc cutting the semi-circle of step (ii) at R.

Step V: With centre R and radius is more than of SR draw an arc in the interior of SOR.

Step VI: With centre S and the same radius, as in step V. Draw an-another arc intersecting the arc in step V at T.

Step VII: Join O to T and produce it to any point C. Then\[\angle AOC=150{}^\circ \].