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## Answers

⇒draw a ray AB,extending in any direction and of any length

⇒drop a perpendicular to the ray AB at any chosen point(say x)

⇒set width of the compass equal to the distance AB(retain this width for the following step)

⇒place the tip of the compass on X and draw an arc so to cut the perpendicular at the same point(say Y)

⇒connect the points A and Y with a straight line and extend it to form a ray AL..

2. Draw a ray MN, extending in any direction and of any length. This will be one of the arms of our angle.

**3.**Drop a perpendicular to the ray MN at any randomly chosen point (say X) on it.

**4.**Set width of your compass equal to the distance MX. Retain this width for the following step.

**5.**Place tip of the compass on X and draw an arc so as to cut the perpendicular at some point (say Y).

6.

Connect the points M and Y with a straight line and extend it to form a ray ML. Angle LMN measures 45o. Erase any extraneous constructions if you so wish.