Question

!!!Please help!!!

(See attachment)

Answer 1

Given in figure ABCD:

∠ABD≅∠CBD

AB≅CB

To prove:

∠A≅∠C

Solution:

In the figure ABCD, we will first prove the Δ ABD and Δ CBD are congruent.

Thus the proof can be given as:

Statement Reason

1)
`\angle ABD \cong \angle CBD` Given

2)
`AB\cong CB` Given

3)
`BD\cong BD` Reflexive property of congruence (As the segment is congruent to itself)

4)
`\triangle ABD\cong \triangle CBD` S.A.S (Side Angle side)

5)
`\angle A\cong \angle C` Corresponding parts of congruent triangles are congruent.

Hence proved.