Question

If ∆XYZ congruent to ∆ABC and ∠X= 35˚, ∠Y= 65˚, then what is the measure of ∠C?​

Answer 1

Answer:

∠C = 80°

Step-by-step explanation:

∆XYZ congruent to ∆ABC.

Hence, ∠X = ∠A

∠Y = ∠B

∠Z = ∠C

So,∠X + ∠Y + ∠Z = 180° (By angle sum property of triangle)

∠X + ∠Y + ∠Z = 180°

35° + 65° + ∠Z = 180°

100° + ∠Z = 180°

∠Z = 180° - 100°

∠Z = 80°

∠Z = 80° = ∠C

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