Answer: x = 43
Concept:
The sum of the interior angle of polygon = (n - 2) × 180
The sum of the interior angle of quadrilateral = (4 - 2) × 180 = 2 × 180 = 360°
Solve:
Given information
First angle = 3x
Second angle = 2x
Third angle = x + 12
Fourth angle = 2x + 4
Total angle = 360
Given expression
First angle + Second angle + Third angle + Fourth angle = Total angle
Substitute values into the expression
(3x) + (2x) + (x + 12) + (2x + 4) = 360
Combine like terms
(3x + 2x + x + 2x) + (12 + 4) = 360
8x + 16 = 360
Subtract 16 on both sides
8x + 16 - 16 = 360 - 16
8x = 344
Divide 8 on both sides
8x / 8 = 344 / 8
[tex]\boxed{x=43}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
