If two triangle ABC and PQR are similar, such that,<B =900
, <C =300
,find angle P.
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In △ABC and △PQR
∠C=∠P (Given)
∠B=∠Q (Given)
∠A=∠R (Third angle of the triangle)
Thus, △ABC∼△PQR
Also, given, AB=AC
Thus, ∠B=∠C (Isosceles triangle Property)
But, ∠B=∠Q and ∠C=∠P
Hence, ∠Q=∠P
or PR=QR
Thus, both the triangles are Isosceles but not congruent.
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