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Please help me!ABC=
AD=
ADC=

Please help me!ABC= AD= ADC=-example-1

1 Answer

7 votes

Answer:

see explanation

Explanation:

the inscribed angle ADB is half the arc that subtends it , AB , then

AB = 2 × ∠ ADB = 2 × 46° = 92°

the central angle BOC is equal to the arc that subtends it, BC , so

BC = 22°

Then

ABC = AB + BC = 92° + 22° = 114°

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BD is a diameter of the circle , so BAD = 180° THEN

AD = 180° - AB = 180° - 92° = 88°

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the sum of the arcs on a circle = 360° , so

ADC = 360° - ABC = 360° - 114° = 246°

User Jimmy Hannon
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