Question

find the value of x.

Explanation:

Step1: Recall polygon exterior angle sum

The sum of exterior angles of any closed polygon is $360^\circ$. The right angle (marked red) is $90^\circ$.

Step2: Set up the equation

Add all given angles and $x$, set equal to $360^\circ$.
$x + 110 + 90 + 76 = 360$

Step3: Calculate the sum of known angles

Sum the constants on the left.
$110 + 90 + 76 = 276$

Step4: Solve for $x$

Subtract the sum from $360^\circ$.
$x = 360 - 276$

Answer:

$84^\circ$