Answer:
141 Degrees
Step-by-step explanation:
Sum of interior angles of a polygon = [tex](n-2) \times 180^{\circ}[/tex]
(where n is the number of sides)
The given figure has 8 sides, therefore:
⇒ sum of interior angles = (8 - 2) × 180°
= 6 × 180°
= 1080°
To find x, sum all the given angles, equate to 1080°, then solve for x:
⇒ x + 162 + (x - 12) + (x + 30) + x + 133 + (x + 16) + 126 = 1080
⇒ 5x + 455 = 1080
⇒ 5x = 625
⇒ x = 125
Therefore, (x + 16) = 125 + 16 = 141°
