What is the angle BDC?

Question

on the following picture?? And how do you know, ie SSS, SAS etc

http://www.freewebs.com/bdaypixx/help.JPG

Answer 1

The thing's very simple
first angle CBA = 132`
and BC = BA
Therefore
angle BCA = angle BAC ( Isosles Triangle theorem)
Therefore
Angles BCA + BAC + CBA = 180` ( Angle measure sum of a triangle)
=>
Angle BCA=(80 - 132)/2
=> BCA = 24`
Angle BCA = BAC
=> BAC = 24`
Angle CDB = angle BAC (Angles in the same segment are equal)
thus Angle CDB = 24`

Answer 2

the triangle ABC is isoceles.
so, angle A n C will be the same. i.e. 180=132+A+A (as A n C are the same)
thus, A is 24 degree.
thus, D is 24 degree. (coz the rules of circle)

Answer 3

24 degree
sum of 3 angles is 180 deg.