Hello Dev
Assume two triangles,
Here ∠A = ∠P, ∠B = ∠ Q & AB = PQ
So, by ASA Congruency, △ABC ≅ △PQR
But, if ∠A = ∠P, ∠B = ∠ Q,
then ∠C = ∠R as well ... because
In △ABC,
by angle sum property
∠A + ∠B + ∠C = 180
As ∠A = ∠P, ∠B = ∠ Q,
∠P + ∠Q + ∠C = 180
∠C = 180 - ∠P - ∠Q
Also,
In △PQR,
by angle sum property
∠P + ∠Q + ∠R = 180
∠R = 180 - ∠P - ∠Q
So, ∠ C = ∠ R
So, we ca say that
Here ∠C = ∠R, ∠B = ∠ Q & AB = PQ
So, by ASA Congruency, △ABC ≅ △PQR
Written on Aug. 29, 2017, 10:07 a.m.