∠ABC=12⋅∠AOCangle cap A cap B cap C equals one-half center dot angle cap A cap O cap C
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
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 ∠ABC=12⋅∠AOCangle cap A cap B cap C equals
is on the major arc, the inscribed angle subtends the minor arc ACcap A cap C . The calculation above is correct for this configuration. Educational Visualization The following graph illustrates the relationship between the
Substitute the given value of the central angle:
∠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