Using a compass draw an angle of measure 135∘.
Answer:
- Draw a line AB.
- With O as the centre and any convenient radius, draw an arc, cutting AB at P and Q.
- With Q as the centre and the same radius, draw an arc, cutting the arc drawn in step 2 at R.
- With R as the centre and the same radius, draw an arc, cutting the arc drawn in step 2 at S.
- With R as the centre and the same radius, draw an arc.
- With S as the centre and the same radius, draw an arc, cutting the arc drawn in the previous step at T.
- Draw OT and produce it to U.
- With P as centre and radius more than half of PX, draw an arc in the interior of ∠AOU.
- With X as centre and the same radius, as in the above step, draw another arc intersecting the arc drawn in the previous step at Y.
- Join OY and produce it to V.∠BOV is the required angle of measure 135∘.