The value of x in the figure is 125°
And the right option is (D) 125°
To solve the problem, we use the formular for the sum of the interior angle of a polygon.
(n-2)180°
- When a vertical line is drawn to touch point Q and S, it becomes a pentagon.
- Pentagon: A pentagon is a polygon with 5 sides
- The sum of the angle in a pentagon is
[tex](5-2)180 = 540[/tex]
∠P+∠T+∠R+∠Q+∠S = 540°
[tex]35+200+x+90+90 = 540[/tex]
[tex]415+x = 540[/tex]
[tex]x = 540-415[/tex]
[tex]x = 125[/tex]
Hence the value of x in the figure is 125°
And the right option is (D) 125°
Learn more about polygons here: https://brainly.com/question/17042929
