Question

Construct an $\angle ABC={40}^o$. Draw another $\angle PQR$ congruent to the given angle without using a protractor.

Answer 1

1) Construct angle ABC of ${40}^o$ and draw a curve XY on point B.

2) Draw a line segment QR and draw a curve equivalent to curve XY at point Q.

3) This curve cut line QR at point Z.

4) Now measure length of arc XY and cut on the second figure and mark the point of intersection as Y.

5) Join YQ and extend it to P.

6) Then angle PQR is the required angle similar to angle ABC