Since ∠T≅∠V, we know that m∠T = m∠V.
Since ∆TUV is isosceles, the base angles ∠T and ∠V are congruent.
Using the isosceles triangle theorem, we know that the sum of the measures of the base angles in an isosceles triangle is 180°.
Therefore, m∠T + m∠V + m∠U = 180°.
Substituting the known values, we have:
m∠T + m∠T + 54° = 180°.
Combining like terms, we get:
2m∠T + 54° = 180°.
Subtracting 54° from both sides, we have:
2m∠T = 126°.
Dividing both sides by 2, we get:
m∠T = 63°.
Therefore, the answer is:
A) m∠T=63°.
△TUV is isosceles, with ∠T≅∠V and m∠U=54° . What is m∠T ?(1 point)
Responses
A) m∠T=63°
B) m∠T=126°
C) m∠T=54°
D) m∠T=36°
1 answer