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Math question help

We were supposed to do this question using only Pythagoras' theorem and thrigonometry. Can someone explain to me how to do this??? (Question 7) https://imgur.com/a/wDDjdqV
This is GCSE level btw
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mqb2766
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It should be fairly easy to find all the different angles in the triangles using
* sum of angles in a triangle is 180
* sum of angles on one side of a straight line is 180

Once you have all the angles, you can use the sin rule to find the length of BD, then use sin(54) = opp/hyp?

Several other similar ways are possible. Can you get all the angles in the diagram to start?
Try seeing what angles you can find out then use those angles and the side you're given to use the sine rule to find out more sides

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