Angles in a Polygon Examples
What is the sum of the angles in a dodecagon?
A dodecagon has 12 sides, so .
What is the measure of each angle in a regular nonagon?
A nonagon has 9 sides. Using our formula, .
Find the missing angle.
A triangle has 180°. If we add the measures of angles I and J and subtract from 180, we get:
Find the measurement of angle Q
This is a hexagon. The total number of degrees equals:
Find the missing angles in this isosceles trapezoid.
Since this is an isosceles trapezoid, angles I and L are congruent. In addition, angles J and K are congruent, so