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∆PQR ≅ ∆XYZ by ASA congruence condition. Find the value of x and y.

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65^o and 4^o

70^o and 8^o

60^o and 10^o

50^o and 20^o

answer is C.

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Detailed Solution

Given , ∆ PQR ≅ ∆XYZ by ASA congruence.

Therefore ∠Q = ∠Y i.e., x + 15° = 80° and ∠R = ∠Z i.e., 5y + 10° = 30°.

Also, QR = YZ.

Since, x + 15° = 80°

Therefore x = 80° – 15° = 65°

Also, 5y + 10° = 30°

So, 5y = 30° – 10°

Therefore, 5y = 20°

⇒ y = 4°

Therefore, the value of x and y are 65° and 4°.

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