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The diagram shows a circle with centre O. A, B, C & D lie on the circumference of this circle. Given that AC is a diameter of the circle and ∠DCA = 51° and ∠BCA = 26°, find the size of ∠DAB as highlighted
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The diagram shows a circle with centre O.

A, B, C & D lie on the circumference of this circle.
Given that AC is a diameter of the circle and ∠DCA = 51° and ∠BCA = 26°, find the size of ∠DAB as highlighted in the diagram.

The diagram shows a circle with centre O. A, B, C & D lie on the circumference-example-1
User Nkron
by
7.5k points

1 Answer

3 votes
Answer is 103’

CDA AND ABC ARE 90’ due to it being formed by the diameter


So,
ACB + BAC + ABC = 180
Thus BAC=64’

DCA + CDA + CAD = 180’
CAD=39’

BAC + CAD = 103’ = DAB
User Dashzeveg Galbadrakh
by
8.2k points
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