Finding missing angles and equal angles in geometry question

[Nadiaxox]

I need a bit of help on this question, I've done it a number of different ways but no idea if it's right. I assumed that for part ii. It was a right angle which is 90 degrees and used that to find the theta which I thought was 50 but I'm not sure if I'm going about it wrong any guidance would be much apprecaited, thank you.

 

[lev888]

I need a bit of help on this question, I've done it a number of different ways but no idea if it's right. I assumed that for part ii. It was a right angle which is 90 degrees and used that to find the theta which I thought was 50 but I'm not sure if I'm going about it wrong any guidance would be much apprecaited, thank you.

The best way to get help here is to post some of your solutions (since you've already "done it a number of different ways"). Please read posting guidelines.

 

[Nadiaxox]

Ah okay that's fine I've attached a pic below of the 2 ways I've done it, no idea if any of it is right since I've never worked with a figure like this before.

 

[pka]

I need a bit of help on this question, I've done it a number of different ways but no idea if it's right. I assumed that for part ii. It was a right angle which is 90 degrees and used that to find the theta which I thought was 50 but I'm not sure if I'm going about it wrong any guidance would be much apprecaited,

Do you understand that \(m\angle EHD=m\angle BCF~?\)
Do you understand that \(m\angle AHC+m\angle HCA+m\angle CAH=180^o~?\)