Question

ABCD and LMNO are squares. Angle CBL = x. Prove that triangles ADN and CBL are congruent

Answer 1

Hence, proved that ΔADN ≅ ΔCBL through ASA congruency.

Step-by-step explanation:

Given that,

∠CBL = x

so,

∠BCL = 90 - x                     (∵ BCD is a right angle)

Also,

∠ABO = 90 - x                     (∵ ABC is a right angle)

So, ∠BCL = ∠ABO

Also, ∠BAO = 180 - (90- x) = x

so, ∠CBL = ∠BAO = x

BC = AB                     (since ABCD is a square)

∵ ΔADN ≅ ΔCBL   using ASA congruency rule.

Learn more: Congruency of the triangles

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