In △ ABC and △ DEF, ∠A = 55°, AB = DE, AC = DF, ∠E = 85° and ∠F = 40°. By which property are ∠ ABC and ∠ DEF congruent?
Answer & explanation
Correct answer: option 1
In △ DEF
⇒ ∠D + ∠E + ∠F = 180
⇒ ∠D = 180 - 85 - 40 = \({55}^\circ\)
So, In △ABC and △DEF
⇒ AB = DE
⇒ AC = DF
⇒ and ∠A = ∠D = \({55}^\circ\)
Therefore, it is congruent by SAS rule.