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You're only supposed to ask one question at a time but here we go in response to a score or more questions:-

1 Angles are measured in degrees, minutes and seconds

2 Angles and their sizes can be found with a protractor

3 Angles can be constructed with a compass and a straight edge

4 Angles can be constructed with a protractor and a straight edge

5 Angles can be bisected with a compass and a straight edge

6 Angles around a circle add up to 360 degrees

7 Angles that are exterior to any polygon add up to 360 degrees

8 Angles within any polygon add up to: (number of sides-2)*180 degrees

9 Angles greater than 0 but less than 90 degrees are acute

10 Angles of 90 degrees are right angles

11 Angles greater than 90 but less than 180 degrees are obtuse

12 Angles greater than 180 degrees are reflex

13 Angles of elevation are formed by looking upwards

14 Angles of depression are formed by looking down wards

15 Angles on a straight line add up to 180 degrees

16 Angles are complementary when they add up to 90 degrees

17 Angles are supplementary when they add up to 180 degrees

18 Angles around a point add up to 360 degrees

19 Angles are at right angles when lines are perpendicular

20 Angles are otherwise vertical opposite equal angles when lines intersect

21 Angles are formed when a transversal line cuts through parallel lines

22 Angles are equal when they alternate

23 Angles are equal when they are corresponding

24 Angles are used in 3 figure bearings for navigational purposes

25 Angles are of the same size when polygons are congruent or similar

QED by David Gambell

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