According to the theorem on inscribed angles, an inscribed angle is equal to half of the central angle that subtends the same arc.
For , the specific problem (usually task #2 or #3 in this section) involves calculating angles related to a circle or inscribed polygons. Problem Statement (Typical for Variant A2, Page 167) Task: Points lie on a circle with center . The central angle ∠AOCangle cap A cap O cap C 140∘140 raised to the composed with power . Find the inscribed angle ∠ABCangle cap A cap B cap C lies on the major arc ACcap A cap C Solution Steps geometriia kniga ershovoi str 167 variant a2 8 klass
Based on the popular textbook by A.P. Ershova and V.V. Goloborodko, page 167 typically contains problems from Self-study Work S-13 (or the end of S-12), which focuses on the properties of Central and Inscribed Angles in a circle. According to the theorem on inscribed angles, an
Substitute the given value of the central angle: The central angle ∠AOCangle cap A cap O