ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ABD? A) 30° B) 36° C) 42° D) 48°

Question

Eaton

Mathematics

24 October, 16:55

ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ABD? A) 30° B) 36° C) 42° D) 48°

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Answers (1)

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Talan Mckee · Answer 1

When a tangent (Line AB) and a secant (Lines BD) intersect, they form an angle (∠ABD) equal to:

½ (the bigger intercepted arc minus the smaller intercepted arc)

angle ABD =.5 * (132 - 72)

angle ABD =.5 * 60

angle ABD = 30 degrees which is A.