Question

Fill in the missing statements and reasons in the proof.

Answer 1

Answer:

through theorem SAS the triangles are congruent.

so <D=<A

other corresponding fearures of congruent pair of triangles

Step-by-step explanation:

vetically opposite angles

<EBD=<ABC

Answer 2

Answer:

$\angle EBD=\angle ABC$ ( By vertical angles theorem)

$\triangle ABC\cong \triangle EBD$ (By SAS postulate)

$\angle D\cong \angle A$ (CPCT)

Step-by-step explanation:

We are given that

Segment AB is congruent to segment DB and segment EB is congruent to segment to CB.

We have to prove that Angle D is congruent to angle A.

Triangle ABC and triangle EBD

$EB=CB$

$AB=DB$

$\angle EBD=\angle ABC$ ( By vertical angles theorem)

$\triangle ABC\cong \triangle EBD$ (By SAS postulate)

$\angle D\cong \angle A$ (CPCT)

Hence, proved