MEASUREMENT OF ANGLES

Observe that two straight lines have been drawn to form four right angles.

In order to have a way to measure angles, a system of angle-degrees has been established. Assume that each of the four right angles is divided into 90 equal angles. The measure of each is 1 angle degree; therefore, in the four right angles, there are 4 x 90, or 360 angledegrees. For accurate measurement, degrees have been subdivided into minutes and minutes into seconds.

1 degree= 60 minutes ('). 1 minute= 60 seconds (").

RELATIONSHIP OF ANGLES

Two angles whose sum is 90 are said to be complementary, and one is the complement of the other.

angles are formed. Pairs of vertical angles are equal.

BISECTING ANGLES

To bisect an angle merely means to divide the angle into two equal angles. his may be done by use of a compass.

Problem:

Solution:

Step 1. Draw an arc with the radius less than the shorter of AB or BC intersecting AB and BC at points X and Y.

Step 2. From X and Y using the same radius, draw arcs intersecting at point F.

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