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PLS HELP! I WILL GIVE BRIANLIEST

PLS HELP! I WILL GIVE BRIANLIEST-example-1
User Petr
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1 Answer

5 votes

Answer:

∡A = ∡
\boxed{\tt C} being the base angle of an isosceles triangle of ΔABC

ΔAKE ≅ ΔCKP by
\boxed{\tt ASA\: axiom}

Explanation:

Given:

AB ≅ BC

AK ≅ KC

∡AKE ≅ ∡CKP

To prove:

ΔAKE ≅ ΔCKP

Solution:

Since AB ≅ BC

It means that

∡A = ∡C being the base angle of an isosceles triangle

In ΔAKE and ΔCKP

∡AKE ≅ ∡CKP Given Angle

AK ≅ KC Given Side

∡A = ∡C being the base angle of an isosceles triangle of ΔABC

Therefore,

ΔAKE ≅ ΔCKP by ASA axiom

User Xeperis
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