Question

find the missing angle measure.
the measure of the missing angle is \\(\square^{\circ}\\)
(type an integer or a fraction.)

Explanation:

Step1: Calculate total interior angles

For an \(n\)-sided polygon, total interior angles = \((n-2) \times 180^\circ\). This is a 6-sided polygon, so:
$$(6-2) \times 180^\circ = 4 \times 180^\circ = 720^\circ$$

Step2: Sum known angles

Add up all given angle measures:
$$143^\circ + 166^\circ + 60^\circ + 132^\circ + 124^\circ = 625^\circ$$

Step3: Solve for missing angle \(x\)

Subtract sum of known angles from total interior angles:
$$x = 720^\circ - 625^\circ = 95^\circ$$

Answer:

95