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As ABDC is a cyclic quadrilateral. And BDC is a isosceles triangle. The measure of angle d is 180-(30+30)=120 then A+D is 180.as it's cyclic. The measure of angle BAC is 180-120=60
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arcAOC is semicircle
So, angleABC = 90°
In triangle BDC
BD=DC
so, angle DBC=angle DCB
= 30°
So, angle BDC+angle DBC+angle DCB=180°
angle BDC+60°=180°
angle BDC=120°
Now in cyclic quad ABCD,
angle BAC+ angle BDC=180°
angle BAC=180° -120°
angle BAC=60°
Hope this helps you. Please mark this as the brainliest answer.
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