△TUV is isosceles, with ∠T≅∠V and m∠U=54°. What is m∠T?(1 point)

Question

1.m∠T=126°

2.m∠T=36°

3.m∠T=63°

4.m∠T=54°

Answer 1

Since TUV is an isosceles triangle, ∠T and ∠V are congruent. Also, the sum of the angles in a triangle is 180°.
Let's denote ∠T = x and ∠V = x.
Since ∠U = 54°, the sum of the three angles is 54° + x + x = 180°.
Simplifying the equation, we get 54° + 2x = 180°.
Subtracting 54° from both sides, we get 2x = 126°.
Dividing both sides by 2, we get x = 63°.
Therefore, m∠T = m∠V = x = 63°.
So the answer is 3. m∠T = 63°.