Question

MT is a diameter of OE. Calculate the measure of AT.

A. 24°

B. 48°

C. 96°

D. 180°

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Answer 1

C. 96°

Explanation:

m<AME = 48° is an inscribed angle

Arc AT = intercepts arc

Based on the inscribed angles theorem, we have:

m<AME = ½(arc AT)

48° = ½(arc AT)

Multiply both sides by 2

48° × 2 = ½(arc AT) × 2

96° = arc AT

Arc AT = 96°