Geometriia Kniga Ershovoi Str 167 Variant A2 8 Klass < Trusted Source >

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

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: For , the specific problem (usually task #2

The following graph illustrates the relationship between the central angle ( ∠AOCangle cap A cap O cap C ) and the inscribed angle ( ∠ABCangle cap A cap B cap C ) subtending the same arc. Final Answer ✅ The inscribed angle ∠ABCangle cap A cap B cap C 70∘70 raised to the composed with power АЛГЕБРА ГЕОМЕТРИЯ Find the inscribed angle ∠ABCangle cap A cap

∠ABC=12⋅140∘=70∘angle cap A cap B cap C equals one-half center dot 140 raised to the composed with power equals 70 raised to the composed with power Since point

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