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Answer:
∠Y =55° ( vertex Y is congruent to vertex C hence ∠Y =55 degrees)
Step-by-step explanation:
given that Δ ABC ≅ Δ XYZ are congruent triangles.
then vertices AB=XZ , BC = YZ , AC = XY
Angles ∠A = ∠X = 65°
∠B = ∠Z = 60°
similarly ∠C = ∠Y =55°.
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AS BOTH TRIANGLES ARE CONGRUENT,
SO, ANGLE C = ANGLE Y
ANGLE Y = 55°
ANOTHER METHOD:
TRIANGLE = 180°
SO IN TRIANGLE XYZ,
180° = 65° + 60° + Y
Y = 180° - ( 60° + 65° )
Y = 180° - 125°
Y = 55°
HOPE IT WILL HELP YOU : ))
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