Question

In the figure AB=QR, AC = PQ, BC = PR also ZA = 70°, LB = 50° then
a) Find C.
b) Find all the angles of triangle PQR.
c) Give your reason.
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Answer 1

In ΔABC and ΔPQR

AB=PQ

And BC=QR

CB And RQ extended to X and Y

∠ABX=∠PQY

∠ABC=180

o

−∠ABX=180

o

∠PQY

∠PQR=180

o

−∠PQY=∠ABC

We get in both triangles

AB=PQ

BC=QR

And ∠ABC=∠PQR

Then both triangle are congruent

i.e. ΔABC=ΔPQR