Question 443396
{{{sqrt(3) * tan(x) +1 = 0}}}
{{{sqrt(3) *tan(x) = -1}}}
{{{tan(x) = (-1/sqrt(3))}}}

Where is tangent negative? In quadrants 2 and 4.

But we are restricted to quadrants 1 and 2, since 0 < x < 180.

Then our angle must be in quadrant 2. 

set up a 30,60,90 triangle.

The side opposite angle 30 is 1.
The side opposite angle 60 is sqrt(3)
The hypotenuse is 2.

So tangent is defined as opp/adj.  So find where our opposite is 1.  That's at angle 30.
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Now remember we are in quadrant 2.

So we need to create a reference angle.
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Reference angles are only based off of those that lie on the x-axis.

That's 0, 180, 360....etc.

Since 90 < x <180, 180 is what we will base our reference angle from.

Take 180 and subtract 30 (our reference angle) to get 150.

{{{highlight(150)}}} is our answer.