Answered

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Sagot :

Answer:

arc AD = 126°

Step-by-step explanation:

the inscribed angles ABD and ACD are half the measure of their intercepted arc AD

then ∠ ABD and ∠ ACD are congruent , so

11x - 3 = 8x + 15 ( subtract 8x from both sides )

3x - 3 = 15 ( add 3 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

then

∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus

arc AD = 2 × 63° = 126°

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