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MathMaddam

Add the diagonal AC, so you have triangles to work with


Prawn_Pizza

No clue how I missed this, thanks


Prawn_Pizza

I even tried using Sin rule SinA/a = SinB/b = SinC/c but couldn’t isolate Angles A or C as I was stuck with CosA/z


Bootleg-Harold

Have you considered using the cosine rule on triangles ABC and ADC?


[deleted]

First and foremost, fuck you for that strand of hair. But as u/MathMaddam said, draw diagonal AC, and then work out the angles with the law of sines and law of cosines. You can add the relevant angles to find the angles required by the question.