what is the value of x? 100° 120° 130° 150°

Explanation:

Step1: Use the formula for the sum of exterior angles of a polygon

The sum of exterior angles of a polygon is (360^{\circ}).

Step2: Set up the equation

We have (140 + 34+56 + x=360).

Step3: Simplify the left - hand side

First, calculate (140 + 34+56=140+(34 + 56)=140 + 90=230). So the equation becomes (230+x=360).

Step4: Solve for (x)

Subtract 230 from both sides: (x=360 - 230).

Answer:

(x = 130^{\circ}), so the answer is (130^{\circ}) (the third option).