In the Following Figure, O is the Centre of the Circle. ∠Abc is Inscribed in Arc Abc And ∠ Abc = 65°. Complete the Following Activity to Find the Measure - Geometry Mathematics 2

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Sum

In the following figure, O is the centre of the circle. ∠ABC is inscribed in arc ABC and  ∠ ABC = 65°. Complete the following activity to find the measure of ∠AOC. 

∠ABC = `1/2`m ______  (Inscribed angle theorem) 
______ × 2 = m(arc AXC)  
m(arc AXC) = _______
∠AOC = m(arc AXC)  (Definition of measure of an arc)  
∠AOC = ______

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Solution

∠ABC = `1/2`m Arc AXC (Inscribed angle theorem) 
65 × 2 = m(arc AXC)  
m(arc AXC) = 130°
∠AOC = m(arc AXC)  (Definition of measure of an arc)  
∠AOC = 130°

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2018-2019 (July) Set 1

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