Question

∆DAB=∆BCD Find the value of following (a) a (b) angle ADB (c) angle ABC​

Answer 1

Answer:

Corresponding parts of congruent triangles

(c.p.c.t) are equal... BC = BD. 2. ABCD is a

quadrilateral in which AD = BC and ZDAB =

ZCBA (see ... Show that ZBCD is a right angle.

Answer 2

Answer:

We have ∠1=∠2 and ∠3=∠4

⇒∠1+∠3=∠2+∠4

⇒∠ACD=∠BDC.

Thus in triangles ACD and BDC, we have,

∠ADC=∠BCD (given);

CD = CD (common);

∠ACD=∠BDC (proved).

By ASA condition △ACD≅△BDC. Therefore

AD=BC and ∠A=∠B.