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Since ∠T ≅ ∠V in an isosceles triangle, the measure of ∠T is equal to the measure of ∠V. Therefore, m∠T = m∠V. Since m∠U = 54°, the sum of all three angles is 180°.
So, m∠T + m∠T + m∠U = 180°.
2m∠T + 54° = 180°.
2m∠T = 180° - 54°.
2m∠T = 126°.
Dividing both sides by 2, we get:
m∠T = 63°.
Therefore, the measure of ∠T is 63°.