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semsee45

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°

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