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Set/insert a node point on an existing line where you want to branch off at 90° deg and shift-draw with the pen tool from that then.

☛ Affinity Designer 1.10.8 ◆ Affinity Photo 1.10.8 ◆ Affinity Publisher 1.10.8 ◆ OSX El Capitan
☛ Affinity V2.3 apps ◆ MacOS Sonoma 14.2 ◆ iPad OS 17.2

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3 minutes ago, nilavarasan said:

I tried to shift+pen tool draw (2) but the line still not 90 deg to the path/line (1) on the node created with node tool.

I know of no way to automatically draw a perpendicular line from a line that is not at 0, 45 or 90 degrees.  The method I use is to draw a short horizontal line, then using the shift key draw another node 90 degrees from the first.  Making an L shape.  Then using the move tool align one leg with the base line, using the crtl key helps rotate the L fairly easily to match.  This has to be done visually as snapping won't help.  You can delete the node making the unwanted portion of the L any time.   Then with the node tool the other leg of the L can be extended or shrunk using the shift ket to maintain the angle.  Or it can be done using the move tool.  Not automated but not too bad to do.

iMac (27-inch, Late 2009) with macOS Sierra

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You want to use the Point Transform tool in conjunction with the Transform panel. duplicate the line and then use the tool.

 

Mac Pro (Late 2013) Mac OS 12.7.4 
Affinity Designer 2.4.1 | Affinity Photo 2.4.1 | Affinity Publisher 2.4.1 | Beta versions as they appear.

I have never mastered color management, period, so I cannot help with that.

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I have tried both the methods , both are working fine. In fact Point Transform Tool seems to work better. 

Really appreciate for both of your replies, you guys are just great.

May be in the future there should be a feature to edit the angle when using shift + pen tool with different angle deg values/positions.

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