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Step-by-step explanation:
Given,
<A = 65 ; <ABD = 70
In Triangle ADB,
<ADB = 180 - (<A + <ABD) [angle sum property of triangle]
<ADB = 180 - 135 = 45 degree
<D = 45 + 45 = 90
The diameter (which is the longest chord) makes an angle 90 degree at any part of the circle (at the circumference) [half the agle subtended at the centre'
Since <D is the subtended angle of chord AC, 'AC' is the diameter
(ii). AC is diameter.
The diameter substends an agle at any part of the circle which is half the angle subtended at the centre.
Angle subtended at the centre = 180
so <ABC should be 1/2 of 180 = 90
so <CBA = 90-70 = 20 degree
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