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09-02-2022
Mathematics

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consider the circle. geometry

consider the circle geometry class=

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09-02-2022

Answer:

(a) 47°

Step-by-step explanation:

Inscribed angle ACE is half the measure of arc AE, so is 42°/2 = 21°. Angle ECD subtends the same arc as angle EBD, so has the same measure, 26°. Angle ACD is the sum of the angles that make it up:

∠ACD = ∠ACE +∠ECD

∠ACD = 21° +26° = 47°

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