The angle of BCA is 62 degrees. thus, Option B. is correct.
What is the sum of angles of quadrilateral?
The sum of the angles of the quadrilateral is 360 degrees.
We need to find the ∠BCA:
∠OBD = 90
∠OAD = 90
So angles in quadrilateral BOAD
56, 90, 90 and∠ BOA
56 + 90 + 90 + ∠BOA = 360
∠BOA = 360 - 90 -90 - 56
∠BOA = 124
∠BCA is angle at circumference
∠BOA = 124, is the angle at centre
Angle at Centre = 2 x Angle at circumference
Angle at Circumference = Angle at Centre / 2 = 124/2 = 62
∠BCA = 62 degrees
thus, Option B. is correct.
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