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A, B, C, D and E lie on a circle, centre O. AOC is a diameter.

Find the value of

( a ) p,


[ 2 ]

( b ) q, [ 2 ]

1 answer

(a) The value of p is 90 degrees because the angle subtended by a diameter in a circle is always a right angle.

(b) The value of q is 45 degrees because angle ACB is inscribed in a semicircle and is therefore half of the central angle AOB, which is 90 degrees, making angle ACB 45 degrees.