Answer:
Both angle T and U are 48 degrees
Angle S is 84 degrees
Explanation:
Isosceles triangles have a property that makes it so their base angles (T & U) are always the same.
So first you need to take angle T and multiply it by 2 which gets you 6x + 54
Then you need to take angle S and add it to the 6x + 54
This gets you 11x + 103. All triangles have a property that makes it so when you add all of their angles together you get 180 degrees.
Since we added all of the angles together it should be equal to 180, so set 11x + 103 to 180.
11x + 103 = 180 Now subtract 103 from both sides.
- 103 - 103
x = 7
Now to get the angles of T, U, and S, just substitute x with times 7 like so:
T: 3*7 + 27 = 48
U: 3*7 + 27 = 48
S: 5*7 + 49 = 84
You can also check your work by adding 48 + 48 + 84 and seeing if it equals 180. If it doesn't, look for errors in your calculations.