Question

Please can someone help ​

Answer 1

141 Degrees

Explanation:

Sum of interior angles of a polygon =
`(n-2) * 180^(\circ)`

(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°