Question

Construct the angle of 105° by using Ruler and a compass:-

Answer 1

Construction Procedure:
1. A ray OA is drawn.
2. With O as centre draw an arc of any radius and intersect at the point B on the ray OA.
3. With B as centre draw an arc C and C as centre draw an arc D.
4. With D and C as centre draw an arc that intersect at the point P.
5. Join the points O and P
6. The point that arc intersects the ray OP is taken as Q.
7. With Q and Q as centre draw an arc that intersect at the point R.
8. Join the points O and R
9. Thus, ∠AOR is the required angle making 105° with OA.