If m<STU =3q and m<STV = 15 +q18 sol e for q and find the measures of angles Stu and stv
To solve for q and find the measures of angles STU and STV, we can use the given information and apply the properties of angles in a triangle.
Firstly, let's understand the relationship between the angles in a triangle. In a triangle, the sum of the measures of the three interior angles is always 180 degrees. Therefore, we can write the equation: m<STU + m<STV + m<UVT = 180.
Now let's substitute the given values into the equation:
m<STU = 3q
m<STV = 15 + q
Plugging these values into our equation, we get:
3q + (15 + q) + m<UVT = 180
Combining similar terms:
4q + 15 + m<UVT = 180
Since we want to solve for q and find the measures of angles STU and STV, we need additional information or equations.