Question

AB is parallel to CD and O is the centre of the
circle. If ADC = 25°, find AEB. Give reasons in
support of your answer.
(ICSE)​

Answer 1

Answer:

i think it will be 40°

to prove that draw a line from A to C a triangle drawn from a diameter has an angle of 90° so CAD will be 90° and in figure it can be clearly seen that AE will act as a median for CAD so DAE will be 45°

now, we can see that ADC and BAD are adjacent angles so BAD will also be 25° making BAC=45° + 25° = 70°

triangle ABC is an isosceles triangle so EBA and EAB are both equal to 70° so by using angle sum property we get AEB = 40°