The value of x in the triangle is 10
The sum of angles in a triangle is 180° . Triangle can be of different types. An isosceles triangle is a type of triangle that has 2 sides and 2 corresponding angles equal.
Exterior angle theorem states the sum of two interior angles of a triangle is equal to the opposite exterior angle.
angle STU = angle SRT
therefore;
180- 10x + 8x - 60 = 10x
180 -60 = 10x + 2x
120 = 12x
x = 120/12
x = 10
Therefore, the value of x is 10