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find the values of x and y. x = 37 (simplify your answer.) y = (simplif…

Question

find the values of x and y. x = 37 (simplify your answer.) y = (simplify your answer)

Explanation:

Step1: Use the property of congruent triangles

Since \(AB = BC\) and \(BD\) is a common side, \(\triangle ABD\cong\triangle CBD\) (by Side - Angle - Side congruence as \(AB = BC\), \(\angle ABD=\angle CBD=x\), \(BD = BD\)). So \(AD = DC\). Given \(AD = 3\), then \(y=3\).

Answer:

\(y = 3\)