Question

A, B, C, D, E are the points on the circle. O is the centre angle ADE =30⁰ angle ABC=130 ⁰ calculate angle ACE ,angle AEC and angle EOC.​

Answer 1

Step-by-step explanation:

, < ABC + < AEC = 180° ( opposite angles of cyclic quadrilateral)

But < ABC = 130°

=> < AEC = 50° …………. (1)

Similarly < CDE + < CAE = 180° ( same reason)

But < CDE = 110°

=> < CAE = 70° ………. (2)

Now, in triangle ACE

< AEC + < CAE + < ACE = 180° ( angle sum property)

=> 50° + 70° + < ACE = 180°