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Given:
ABCD is a kite, AB < AD
Prove:
The angles between the unequal sides are equal
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Given
SSS (Side-Side-Side)
Algebra
ABCD is a kite
Definition
AB = BC and CD = DA
CPCTC
BD = BD
Two points determine a line
∠A = ∠C
△ABD = △CBD
Statements
Draw BD
Reasons