Question

Are the following pairs of triangles are congruent by ASA congruence condition ​

Answer 1

Answer:

yes

Step-by-step explanation:

because AB is common side

Answer 2

Answer

• ∠CAD = ∠DBC = 95°....(i)
• ∠CBA = ∠DAB = 20° ....(ii)

on adding eq.(i) and (ii)

➪∠CAD + ∠CBA = ∠DBC + ∠DAB = 95° + 20°

➪ ∠CAB = ∠DBA = 115°

now, in ∆ABC and ∆ABD

∠CAB = ∠DBA (both are of 115°)...proved above

AB = AB (common)

∠CBA = ∠DAB (both are of 20°)

so, ∆ABC ≅ ∆ABD by ASA congruence rule

ASA = Angle Side Angle

and in ∆ABC and ∆ABD two adjacent angles of common side are equal

then, we can say the pairs of triangles are congruent by ASA congruence condition