Question

In ∆ABC and ∆PQR, BC=QR, angle A = 90°, angle B= angle Q = 50° and angle R= 40°. Is ∆ABC=∆POR?
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Answer 1

Answer:

Step-by-step explanation:

Given: In △ABC and △PQR

BC=QR

∠A=90°

∠C=∠R=40°

∠Q=50°

Consider △ABC,

by angle sum property of △

∠A+∠B+∠C=180°

90°+∠B+40°=180°

∠B=180°−130°=50°

Since BC=QR [given]

∠C=∠R=40°  [given]

∠Q=∠B=50°

So, △ABC ≅ △PQR [  ASA criteria]