Page 11 - 4-Math-8 Geometry
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8.3 Measuring and drawing angles

We measure angles in degrees ( ).
There are 90 in a right angle.

There are two right angles in a straight line.

A straight line is 180.                                          90 90

         90 +90 180                                                                                                              90 90
                                                                                                                                 90 90
A complete circle is the same as four right angles or 360.

          90 + 90 +90 +90 360

We  can  say  that   1   th  part  of  complete  circle  is      equal               to        one      degree.
                    360

    An angle less than 90 is an acute angle.
    An angle greater than 90 but smaller than 180 is an obtuse angle.

Look at the angle ABC.                 A

                                       BC

Let’s measure ABC.                     upper scale lower scale70                          80   90  100
                                                                                     110  100  90  80   110  61020 50130
We can use a protractor to                                              50130 61020                     70
measure the angle.
                                                           15300 14040                                                    14040

                                                                                                                          15300

                                                         20160                                                                      160
                                                                                                                                 20

                                                         10                                                                         170
                                                            170                                                                  10

                                                         0                                                                          180
                                                            180                                                                  0

                                                              centre mark
A protractor has a centre mark, an upper scale and a lower scale.

Upper scale reads the measure of angles from left to right.
Lower scale reads the measure of angles from right to left.
Each small marking on the scales shows 1 degree ( 1 ).

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