△TUV is isosceles, with ∠T≅∠V and m∠U=54° . What is m∠T ?
1.m∠T=54°
2.m∠T=63°
3.m∠T=126°
4.m∠T=36°
Since △TUV is isosceles with ∠T≅∠V, we know that m∠T = m∠V.
We are given that m∠U = 54°.
Since the sum of the angle measures in a triangle is 180°, we can find m∠T by subtracting m∠U and m∠V from 180°:
m∠T = 180° - m∠U - m∠V
Since m∠T = m∠V, we can rewrite this as:
m∠T = 180° - 54° - m∠T
Simplifying, we have:
2m∠T = 180° - 54°
2m∠T = 126°
Dividing both sides by 2, we find:
m∠T = 63°
Therefore, the answer is 2. m∠T = 63°.