The vertices of triangle ABC lie on a circle, angle A = 70 degrees, angle C = 30 degrees.
| July 18, 2021 | education
The vertices of triangle ABC lie on a circle, angle A = 70 degrees, angle C = 30 degrees. What is the degree measure of the arc AC?
Determine the value of the angle ABC of the triangle ABC. The sum of the inner angles of the triangle is 180, then the angle ABC = 180 – BAC – ACB = 180 – 70 – 30 = 80.
The inscribed angle ABC rests on the arc AC, therefore, the degree measure of the arc AC is equal to two values of the inscribed angle that rests on this arc.
Arc AC = 2 * 80 = 160.
Answer: The degree measure of the arc AC is equal to 160.
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.
