find the value of x from the following figure

Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°