Answer:
1. 360
2. Yes because in a regular hexagon all angles are congruent so the exterior angles are as well
3. (i) 60 (ii) 120
4.
(i) 1. 360 2. Yes because in a regular octagon all angles are congruent so the exterior angles are as well 3. (i) 45 (ii) 135
(ii) 1. 360 2. Yes because in a regular 20-gon all angles are congruent so the exterior angles are as well 3. (i) 18 (ii) 162
Step-by-step explanation:
Works for each polygon
1. First take the number of sides and subtract it by 2 then multibly that by 180
6-2=4x180=720
Then divide by the number of angles and subrtact that number by 180 to find the measure of one exterior angle
720/6=120
180-120=60
Then multiply by the number of exterior angles
60x6=360
2. Regular polygons always have equal angles so the exterior angles are as well
3. Put in your numbers from earlier
(i) 60 (ii)120
Hope this helps! :)
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