Construct angle 45° and 135°

2 answers

To construct an angle of 45°, draw a line segment AB. Place the point of the compass at A and draw an arc that passes through B. Without changing the compass width, place the point of the compass at B and draw an arc that intersects the first arc at point C. Line segment AC is the angle of 45°.

To construct an angle of 135°, draw a line segment AB. Place the point of the compass at A and draw an arc that passes through B. Without changing the compass width, place the point of the compass at B and draw an arc that intersects the first arc at point C. Place the point of the compass at C and draw an arc that intersects the first arc at point D. Line segment AD is the angle of 135°.
To construct an angle of 135°, just construct the 45° angle and extend one ray past the vertex.