What is called the bisector of an angle?

Plotting the bisector OA of the COB angle equal to 84 degrees
draw the angle of COB = 84 degrees;
we apply the protractor to the top of the corner O, so that the side of the protractor coincides with the side of the corner;
measure an angle of 41 degrees, set point A;
connect point A with point O;
we get the bisector OA.
An example of a problem with an angle bisector and its solution
One of the adjacent corners is 5 times the size of the other. Find the angles that the bisector of the larger angle makes with the sides of the smaller one.
Let the smaller of the adjacent angles, that is, the angle BOC = x degrees, then the angle AOB = 5 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
5 * x + x = 180;

x * (5 + 1) = 180;

x * 6 = 180;

x = 180: 6;

x = 30 degrees – the degree measure of the VOC angle;

30 * 5 = 150 degrees – the degree measure of the angle AOB

150: 2 = 75 degrees – forms a bisector of a larger angle on one side of a smaller angle;

75 + 30 = 105 degrees – forms a bisector of a larger angle on the other side of a smaller angle.

Answer: 75 degrees; 105 degrees.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.