Draw an angle of 65∘ and draw an angle equal to this angle using ruler and compass.
Steps of construction:
Step I: Draw a line l and choose a point P on it.
Step II: Place the compass at B and draw an arc to cut the rays of ∠B at A and C.
Step III: Use the same compass setting to draw an arc with P as centre, cutting l at Q.
Step IV: Set your compass to the length AC.
.Step V: Place the compass pointer at Q and draw the arc to cut the previous arc in R.
Step VI: Join PR. This gives us ∠P. It has the same measure as ∠B
The measure of ∠QPR has same measure as ∠ABC.