Jessica is drawing a regular octagon.

What is the measure of one interior angle?

1 answer

To find the measure of one interior angle of a regular octagon, we can use the formula for the measure of an interior angle of a regular polygon, which is given by:

\[ \text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n} \]

where \( n \) is the number of sides of the polygon. For an octagon, \( n = 8 \).

Substituting \( n \) into the formula:

\[ \text{Interior Angle} = \frac{(8 - 2) \times 180^\circ}{8} = \frac{6 \times 180^\circ}{8} \]

Calculating this step-by-step:

  1. Calculate \( 6 \times 180^\circ \): \[ 6 \times 180^\circ = 1080^\circ \]

  2. Divide by 8: \[ \frac{1080^\circ}{8} = 135^\circ \]

Therefore, the measure of one interior angle of a regular octagon is \( \boxed{135^\circ} \).

Similar Questions
    1. answers icon 3 answers
  1. 37.What is the measure of an interior angle of a regular octagon? 45° 22° 180° 135°
    1. answers icon 1 answer
  2. What is the measure of each interior angle in a regular octagon?The sum of a octagon = ° Measure of 1 angle =
    1. answers icon 1 answer
  3. What is the measure of eachinterior angle of a regular octagon? (1 point) 135° 1080° 147° 124°
    1. answers icon 1 answer
more similar questions