∆ TUV is isosceles, with T ~V and m U = 54°. What is m T
Since TUV is an isosceles triangle, this means that the angles opposite the equal sides are equal. Therefore, we have:
m(T) = m(V).
Also, we know that m(U) = 54°.
Since the sum of the angles in a triangle is 180°, we can write the equation:
m(T) + m(U) + m(V) = 180
Using the information we already have, we can substitute in the given values:
m(T) + 54 + m(T) = 180
Combining like terms, we have:
2m(T) + 54 = 180
Subtracting 54 from both sides of the equation:
2m(T) = 180 - 54
2m(T) = 126
Dividing both sides by 2:
m(T) = 63
Therefore, m(T) is equal to 63°.