Question

ABCD is a quadrilateral in which AD = BC and angle DAB = angle CBA prove that
(1) angle ABD congruent to angle BAC
(2) BD=AC
(3) angle ABD= angle BAC​

Answer 1

Step-by-step explanation:

Given:

AD=BC

angle DAB = angle CBA

In Triangle DAB and CBA

angle DAB = angle CBA [given]

AD = BC [given]

AB = AB [common]

using SAS Congruency

Triangle DAB =~ Triangle CBA

Since triangle DAB and triangle CBA are congruent

therefore

(1) Angle ABD and angle are congruent

(2) BD = AC

(3) angle ABD = angle BAC