Question

The measure of the seven angles in a nonagon 138°,154°,145°,132°128°,147°, and 130°. If the two remaining angles are equal in measure, what is the measure of each angle?

Answer 1

In a nonagon with seven known angles, the measure of each of the two remaining angles is 168°.

Step-by-step explanation:

A nonagon is a polygon with nine angles. In this case, we know the measures of seven of the angles: 138°, 154°, 145°, 132°, 128°, 147°, and 130°. To find the measure of each angle, we can subtract the sum of the known angles from the total sum of angles in a nonagon, which is 180° x (9-2) = 1260°. So, 1260° - (138° + 154° + 145° + 132° + 128° + 147° + 130°) = 336°. Divide this by 2 to find the measure of each of the two remaining equal angles: 336° ÷ 2 = 168°. Therefore, each of the two remaining angles will measure 168°.