Question

I need help, can't find a single clue on how to do this, looked back on my lessons and couldn't find anything about it.

Find the value of x.

The value of x is ____

Answer 1

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 = $26\frac{7}{13}^{o}$

x = 26.5° (1dp)