Question

construct an angle of 105 using compass

Answer 1

Answer:

by making 60degree and then 45degree

Answer 2

${\bold{\underline{\underline{Answer:}}}}$

By following this procedure, we can get what is 105 degree angle.

1). First make the reference line.

2). Place the needle of the compass on the point O at which the angle to be made.

3). Draw an arc with simple semi circle by taking some radius such that it intersects the reference line at point D.

4). Now place the compass needle at the point D and draw arc on semicircle at point E without changing radius.

5). Again draw the arc on same semi circle at centre of point E by without changing radius that intersect the point F.

6). Now we get point D, E and F with centre at O. Point E and point F correspond to angle 60 degree and 120 degree respectively.

7). Now change the radius in compass, and draw two arcs from point E and F such that they intersect each other at point (B).

8). Join the point O and B. This line gives 90 degree angle ie is angle BOA = 90 degree.

9). Let this line BO intersects semicircular arc at point G.

10). From point G draw an arc and without changing the radius draw another arc from point F

such that they intersect each other at point C.

11). Join the point O and C.

12). The line OC which makes an angle of 105 degree with the reference line OA.

Hence, ∠AOC = 105°