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Question

Find out which of the following are congruent angles.

m∠J = 42°, m∠M = 105°, m∠S = 54°, m∠W = 113°, m∠B = 90°, m∠H = 113°, m∠Y = 90°, m∠D = 42°, m∠I = 150°, m∠F = 54°.

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Solution

Two angles are congruent if they have equal measures.
m∠J = m∠D = 42°
∴ ∠J and∠D are congruent.

m∠M = m∠I = 105°
∴∠M and∠I are congruent.

m∠S = m∠F = 54°
∴∠S and∠F are congruent.

m∠W = m∠H = 113°
∴∠W and∠H are congruent.

m∠B = m∠Y = 90°
∴∠B and∠Y are congruent.

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