Question

what is the measure of each interior angle of a regular octagon​

Answer 1

Answer:

Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees.

Answer 2

Answer:

135°

Step-by-step explanation:

$\tt \: Number \: of \: sides \: in \: octagon = 8 \\ \\ \tt \: Formula \: to \: find \: each \: interior \: angle \: of \: polygon \longrightarrow \: \frac{(n - 2) \times 180}{n} \\ \\ \tt \: So, \\ \\ \tt \frac{(n - 2) \times 180}{n} \\ \\ \tt \longrightarrow \: \frac{6 \times 180}{8} \\ \\ \tt \longrightarrow \: 3 \times 45 = 135 \degree$