Question

In the construction of $\angle {135}^{\circ }$ , how many arcs are drawn?

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The correct option is C 6


Step to construct an angle of ${135}^{\circ }$ :
1. Draw a ray PQ , and extend PQ to the left side of P. Draw a semi-circle of some radius taking point P as its centre, which intersects PQ at R and W.
2. Taking R as the centre and with the same radius , draw an arc (1) intersecting the previously drawn arc at s.
3. Taking s as the centre and with the same radius , draw an arc (2)intersecting the arc at t ( see figure).
4. Taking s and t as the centre, draw arcs(3,4) of same radius to intersect each other at U.
5. Join PU, let it intersect the arc at v. Taking v and w as centre s and with radius more than half the length of arc vw, draw arcs (5,6) to intersect each other at X.
6. Join PX, which is the required ray that makes an angle of ${135}^{\circ }$ with the ray PQ.