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Please answer this question now-example-1

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Answer:

72°

Explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,


56 = (1)/(2)(AB + 40)

Solve for AB


56 = (AB + 40)/(2)

Multiply both sides by 2


56*2 = (AB + 40)/(2)*2


112 = AB + 40

Subtract both sides by 40


112 - 40 = AB + 40 - 40


72 = AB

Arc AB = 72°

User Goyalankit
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