Question

In the given figure AOC ≅ PYR . Is BOC ≅ QYR ?​

Answer 1

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∠AOC≅∠PYR⋯(1)

∠BOC≅∠QYR⋯(2)

From (1)

∠AOC≅∠PYR

So, from figure we can write that,

⇒∠AOB+∠BOC≅∠PYQ+∠QYR

⇒∠AOB+∠QYR≅∠PYQ+∠QYR⋯⋯[from (1)]

⇒∠AOB≅∠PYQ

So, ∠PYQ is congruent to ∠AOB.

hope it helps you...