Solve the following problems:
Given: m∠DAB=m∠CBA
m∠CAB=m∠DBA
CA=13 cm
Find: DB

Answer:
DB = 13 cm
Step-by-step explanation:
ΔCAB ≅ ΔDBA by ASA, so CA ≅ DB by CPCTC.
CA = 13 cm, so DB = 13 cm.
Answer:
Step-by-step explanation:
Given : m(∠DAB) = m(∠CBA)
m (CAB) = m(∠DBA)
and CA = 13 cm
To find : measure of DB
In ΔCAB and ΔDAB
m(∠DAB) = m(∠CBA) [given]
m(∠CAB) = m(∠DBA) [given]
and AD is common in both the triangles.
Therefore, ΔCAB and ΔDAB will be congruent. [By ASA property]
Therefore, CA = DB = 13 cm.