Answer :

The value of x is 12. 94°

How to determine the angle

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°

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