Mathematics
In the adjoining figure, find the values of x and y.
Triangles
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Answer
In △ABD and △CBD,
Given,
AB = BC (Given)
AD = CD (Given)
BD = BD (Common)
Hence, by SSS axiom △ABD ≅ △CBD.
We know that corresponding angles of congruent triangles are equal.
∴ (y + 5)° = 46° and (2x + 5)° = 35°
y° = 41° and 2x° = 30°
y = 41 and x = 15.
Hence, x = 15 and y = 41.
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