Using a compass draw an angle of measure ^@ 135^\circ. ^@
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 ^@ \angle 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. \angle BOV ^@ is the required angle of measure ^@ 135^\circ. ^@