Indonesia
Using a compass draw an angle of measure 135∘.135∘.
Answer:
- Draw a line AB.AB.
- With OO as the centre and any convenient radius, draw an arc, cutting ABAB at PP and Q.Q.
- With QQ as the centre and the same radius, draw an arc, cutting the arc drawn in step 22 at R.R.
- With RR as the centre and the same radius, draw an arc, cutting the arc drawn in step 22 at S.S.
- With RR as the centre and the same radius, draw an arc.
- With SS as the centre and the same radius, draw an arc, cutting the arc drawn in the previous step at T.T.
- Draw OTOT and produce it to U.U.
- With PP as centre and radius more than half of PX,PX, draw an arc in the interior of ∠AOU.∠AOU.
- With XX as centre and the same radius, as in the above step, draw another arc intersecting the arc drawn in the previous step at Y.Y.
- Join OYOY and produce it to V.∠BOVV.∠BOV is the required angle of measure 135∘.135∘.
