In triangle abc and triangle pqr it is given that AB equal to AC angle C + Angle B and Angle B equal to angle Q then the triangle are

Question

In triangle abc and triangle pqr it is given that AB equal to AC angle C + Angle B and Angle B equal to angle Q then the triangle are

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Clara 3 weeks 2021-09-04T18:36:36+00:00 1 Answer 0 views 0

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    2021-09-04T18:37:42+00:00

    Answer:

    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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