Side AC of triangle ABC passes through the center of the circumscribed circle around it. Find angle C if angle A = 30.

univerkov | November 29, 2020 | education

1) AC passes through the center of the circumscribed circle =>
AC – Diameter
2) <ABC rests on diameter => m (<B) = 90
3) The sum of the measures of the angles of the triangle = 180 =>
m (<C) = 180-m (<B) -m (<A) =>
m (<C) = 180-90-30 = 60
Answer: 60

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.