Question

1. find the measures of an exterior angle and an interior angle given a regular polygon with 8 sides. round to the nearest tenth, if necessary.

Explanation:

Step1: Calculate exterior angle sum

The sum of exterior angles of any polygon is $360^\circ$.

Step2: Find single exterior angle

Divide total by number of sides.
$\text{Exterior angle} = \frac{360^\circ}{8} = 45^\circ$

Step3: Relate interior-exterior angles

They are supplementary (sum to $180^\circ$).
$\text{Interior angle} = 180^\circ - 45^\circ = 135^\circ$

Answer:

Exterior angle: $45.0^\circ$
Interior angle: $135.0^\circ$