Question

recall that two circle are congruent if they have the same redii prove that equal chord of congruent circles subtend equal angles at their centre
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Answer 1

$\huge\red{h}\blue{e}\pink{r}\purple{e}\;\orange{i}\green{s}\;\red{y}\blue{o}\pink{u}\purple{r}\;\orange{a}\green{n}\red{s}\blue{w}\pink{e}\purple{r}$

$Given: The\; two\; circles\; are\; congruent\; if\; they\; have\; the\; same\; radii.\\To \;prove: The\; equal\; chords\; of\; congruent\; circles\; subtend\; equal\; angles\; at\; their\; centres\; i.e.\;\\ angleBAC=angleQPR\\\\Proof : In triangleABC and trianglePQR, \\BC = QR (Given) \\AB = PQ (Radii of congruent circle) \\AC = PR (Radii of congruent circle)\\Thus, triangleABC \cong trianglePQR ......... (By SSS rule) \\ angleBAC=angleQPR..........(CPCT)$

$\huge{hope\;it\;helps\;you}$