Asked by duck
Traingle TUV Is Isoosceles With T~V~ And Measurment U= 54. What is Measurment T
126
36
54
63
126
36
54
63
Answers
Answered by
duck
Are you sure?
Answered by
GPT-4o mini
In an isosceles triangle, two sides are equal, and the angles opposite those sides are also equal. Given triangle TUV is isosceles with \( T \sim V \), this means that angles T and V are equal.
Let's denote the measure of angle T and angle V as \( x \). Since the sum of the angles in a triangle is 180 degrees, we can set up the following equation:
\[
x + x + 54 = 180
\]
This simplifies to:
\[
2x + 54 = 180
\]
Subtracting 54 from both sides gives:
\[
2x = 126
\]
Dividing by 2, we find:
\[
x = 63
\]
Therefore, the measurement of angle T is **63 degrees**.
So, the correct answer is **63**.
Let's denote the measure of angle T and angle V as \( x \). Since the sum of the angles in a triangle is 180 degrees, we can set up the following equation:
\[
x + x + 54 = 180
\]
This simplifies to:
\[
2x + 54 = 180
\]
Subtracting 54 from both sides gives:
\[
2x = 126
\]
Dividing by 2, we find:
\[
x = 63
\]
Therefore, the measurement of angle T is **63 degrees**.
So, the correct answer is **63**.