Please answer this. you will get branliest if u do

Let’s first find the angle y
Angle y = 180-(140+10)(angle sum property)
Angle y = 180-150
Angle y = 30 degrees
Angle x = 180- 110 ( linear pair )
Angle x = 70
Angle z = 180-(70+90)( angle sum property)
Angle z = 180-160
Angle z = 20

Step-by-step explanation:

Angles on a straight line add up to 180°.

Angles in a triangle add up to 180°.

The 3 angles in the whole triangle add up to 180°.

Equation that can be used to get x is;  x2 + 14x - 51 = 0  

Value of x (width of the walkway) = 3 meters

Step-by-step explanation:

Since the width of the walkway is x m, then;

The length of the rectangle is (2x + 16) and

The width of the rectangle is (2x + 12). The area of the rectangle is 396.  

Therefore;

(2x + 16)(2x + 12) = 396  

4x2 + 24x + 32x + 192 = 396  

4x2 + 56x - 204 = 0  

x2 + 14x - 51 = 0  

(x + 17)(x - 3) = 0  

x + 17 = 0 or x - 3 = 0  

x = -17 or x = 3

Discard the negative value and you are left with the width of the walkway being 3 meters wide.