Question

The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC.

Which equation is true?

angle ABD = angle BCD

angle DCB = angle ADB

angle ABD = angle CBD

angle ABD = angle CDB

Answer 1

It is the third one: Angle ABD = Angle CBD.

Answer 2

So based on the given figure above which is quadrilateral ABCD, the equation that is true would be the third option: angle ABD = angle CBD. Based on the SAS Postulate, if two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent. Hope that this answer helps.