Question

3 determine the measure of the unknown angle in each figure. show your work. a

Explanation:

Step1: Recall sum of interior angles

The sum of interior angles of a hexagon is $(6 - 2)\times180^{\circ}=720^{\circ}$.

Step2: Set up equation

$x + 166+108 + 121+135+90=720$.

Step3: Simplify left - hand side

$x+(166 + 108+121+135+90)=x + 620$.

Step4: Solve for x

$x=720 - 620$.
$x = 100$.

Answer:

$100^{\circ}$