Geometriia Kniga Ershovoi — Str 167 Variant A2 8 Klass

According to the theorem on inscribed angles, an inscribed angle is equal to half of the central angle that subtends the same arc.

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. geometriia kniga ershovoi str 167 variant a2 8 klass

Substitute the given value of the central angle: According to the theorem on inscribed angles, an

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 The central angle ∠AOCangle cap A cap O

∠ABC=12⋅∠AOCangle cap A cap B cap C equals one-half center dot angle cap A cap O cap C