Answer: 26.5°
Step-by-step explanation:
First angle: 180 - (x + 16) = 180 - x - 16 = (164 + x)°
Second angle: 180 - (3x - 1) = 180 - 3x + 1 = (181 - 3x)°
Third angle: (180 - 5x)°
Fourth angle: (180 - 6x)°
Seeing that the sum of angles in any given quadrilateral is 360°,
(164 + x) + (181 - 3x) + (180 - 5x) + (180 - 6x) = 360
164 + x + 181 - 3x + 180 - 5x + 180 - 6x = 360
705 - 13x = 360
345 = 13x
x = [tex]26\frac{7}{13}^{o}[/tex]
x = 26.5° (1dp)
