WAEC - Mathematics (1988 - No. 26)

In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?

147o
127o
65o
53o
37o

Explanation

From the figure \(< ABC = < ADC = 37°\) (angles on the same segment)

\(< BCA = 90°\) (angle in semi-circle)

\(\therefore\) In \(\Delta ABC\), \(< ACB = 180° - (37° + 90°)\)

= 53°

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