The value of x is 12. 94°
<h3>How to determine the angle</h3>
From the diagram shown, we can see that the two angles are on a straight line.
It is important to note that angles on a straight line sum up to 180 degrees
Hence, we have;
(11x- 15) + 5x - 12 = 180°
collect like terms
11x + 5x - 15 - 12 = 180
Add like terms
16x - 27 = 180
16x = 180 + 27
16x = 207
Make 'x' the subject of formula
x = 207/ 16
x = 12. 94°
Thus, the value of x is 12. 94°
Learn more about angles here:
brainly.com/question/14362353
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