One of the adjacent angles is 50 degrees. Find the degree measure of the angle that is formed

| January 16, 2021 | education

One of the adjacent angles is 50 degrees. Find the degree measure of the angle that is formed by the bisectors of these adjacent angles.

Given:
angles AOC and COB – adjacent,
OE is the bisector of the angle AOC,
OK is the bisector of the BOC angle,
angle AOC = 50 degrees.
Find the degree measure of the angle EOK -?
Decision:
Consider the adjacent angles AOC and COB. Since the sum of the degree measures of adjacent criminals is 180 degrees, the angle of the COB = 180 – 50 = 130 (degrees).
Since OE is the bisector of the AOC angle, the AOE angle = the EOC angle = 50: 2 = 25 degrees.
Since OK is the bisector of the BOC angle, the BOC angle = the COS angle = 130: 2 = 65 degrees.
Angle EOC = angle EOC + SOC;
Angle EOK = 25 + 65;
Angle EOK = 90 degrees.
Answer: 90 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.