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5 votes
Angle CBA=

DBA =
B
Angle BCA
12
30
Angle x =
Angle OAD=
Angle

User RmLuma
by
9.4k points

1 Answer

3 votes

We have proved that ∠ADB=∠BCA and ∠DAB=∠CBA based on the given information.

To prove that ∠ADB=∠BCA and ∠DAB=∠CBA, we can use the information provided:

AD=BC and BD=CA.

Here's the proof:

Given:

AD=BC

BD=CA

To Prove:

∠ADB=∠BCA

∠DAB=∠CBA

Proof:

Since AD=BC and BD=CA, we can conclude that triangles ADB and BCA are congruent by the Side-Side-Side (SSS) congruence criterion.

Therefore, ∠ADB=∠BCA (corresponding angles of congruent triangles).

Similarly, ∠DAB=∠CBA (corresponding angles of congruent triangles).

Conclusion:

∠ADB=∠BCA

∠DAB=∠CBA

Hence, we have proved that ∠ADB=∠BCA and ∠DAB=∠CBA based on the given information.

Question

In the figure AD = BC and BD = CA. Prove that ∠ADB=∠BCA and ∠DAB=∠CBA.

Angle CBA= DBA = B Angle BCA 12 30 Angle x = Angle OAD= Angle-example-1
User Sybozz
by
8.1k points
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