△TUV%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A is isosceles, with ∠T≅∠V%0D%0A∠%0D%0A%0D%0A≅%0D%0A∠%0D%0A%0D%0A and m∠U=54°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A54%0D%0A°%0D%0A. What is m∠T%0D%0A%0D%0A∠%0D%0A%0D%0A?%0D%0AResponses%0D%0A%0D%0Am∠T=54°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A54%0D%0A°%0D%0A m∠T=54°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A54%0D%0A°%0D%0A - no response given%0D%0A%0D%0Am∠T=36°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A36%0D%0A°%0D%0A m∠T=36°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A36%0D%0A°%0D%0A - no response given%0D%0A%0D%0Am∠T=126°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A126%0D%0A°%0D%0A m∠T=126°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A126%0D%0A°%0D%0A - incorrect%0D%0A%0D%0Am∠T=63°
m∠T=63°
explain how to get that answer
To find the measure of angle T (m∠T), we can use the information given in the question.
First, it is stated that triangle TUV is isosceles, meaning that two of its angles are congruent. The given statement (∠T≅∠V) tells us that angle T and angle V are congruent.
Next, it is given that angle U (m∠U) measures 54°.
Since triangle TUV is isosceles and angle U is 54°, we know that the other two angles, angle T and angle V, must also be congruent. Therefore, m∠T = m∠V.
From the information given, we can conclude the following:
m∠T = m∠V (congruent angles)
m∠U = 54°
Since the measure of angle T is equal to the measure of angle V and angle U measures 54°, we can substitute 54° for both angles:
m∠T = m∠V = 54°
Therefore, the measure of angle T (m∠T) is 54°.
but the answer is 63
I apologize for the incorrect response. Let's reevaluate the problem to find the correct measure of angle T.
Given that triangle TUV is isosceles with angle T congruent to angle V, and angle U measuring 54°, we need to determine the measure of angle T (m∠T).
Since triangle TUV is isosceles, we know that angles T and V are congruent. Let's denote their measure as x.
We are also given that angle U measures 54°.
To find the measure of angle T, we can use the fact that the sum of the angle measures in a triangle is 180°.
Using the information we have, we can set up the following equation:
x + x + 54° = 180°
Simplifying the equation, we have:
2x + 54° = 180°
Subtracting 54° from both sides:
2x = 126°
Dividing both sides by 2:
x = 63°
Therefore, the measure of angle T (m∠T) is 63°.