Angela showed her soft side in season 3, more than any other T.V. year. First and foremost she was a business leader. However when her three children were in jeopardy she really would have walked over hot coals, for them.
In another 3rd season scene Angela reads Julia's college letter (after the snatching of Joseph and them hiding in the springhouse) and understandably gets very upset. Jane might have had a small tear here. If she hadn't her eyes certainly watered up. Superb acting (as shown below):
In your favourite cliffhanger
@Angela Channing namely 6 the tears were also flowing when Jacqueline's bombshell was dropped, about Richard being Angela's son.
Just before Peter leaves Falcon Crest he presents Angela with a letter; (a scene from season 6, 1986 - '87):
Angela remembers what Peter said before he left, "once you've read it my dear, your life will never be the same."
She begins to read the letter, after Peter has flown out of California, on his private jet. We then hear the voiceover of Peter.
"My darling Angela what you're about to open is a Pandora's box. I pray I've made the right decision, in giving it to you. When I went first to find something to help you destroy Richard Channing I discovered his father Douglas Channing had left a safe deposit box, in a Swiss bank.
The bribe worked and the box was mine. Inside were several documents and a confession; you're ex husband's confession. Angela my dear, Douglas and his mistress hated you so much they did a terrible thing. The first child the one before Julia and Emma was born healthy and yet died so mysteriously, (the beginning of flash back scenes). He didn't die. Douglas and Jacqueline Perrault stole him, to hurt you.
They faked the death certificate and sent him off, to be raised in Europe. The boy grew up, fed on hate. Richard Channing is your son. The proof is in the enclosed envelope." Angela sitting at her desk doesn't know which way to turn or to who and then cries.