Respuesta :

Answer:

x = 109

Step-by-step explanation:

The formula for sum of angle in a polygon = (n - 2) * 180 where n is the number of sides of the polygon

The figure in the image is a pentagon meaning a polygon with five sides and as such n = 5

plugging n=5 in the above equation, we get the sum of angles in a polygon is;

(5-2)*180 = 3*180 = 540

=> x + 121 + 108 + 102 + 100 = 540

x = 540 - 121 - 108 - 102 - 100

x = 109

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