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∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 78° and minor arc CD = 124°, what is the measure of ∠ABD?

ABD is formed by a tangent and a secant intersecting outside of a circle If minor arc AC 78 and minor arc CD 124 what is the measure of ABD class=

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Leedlepickle
I believe the measure of angle ABD is 79 degrees. You must add the measures of arc CD and AC first. 78+124=202 To figure out the measure of arc AD, subtract 202 from 360. 360-202=158 Because arc AD is a major arc, the angle that opens up to it, ABD, is half its measure. This means that angle ABD is 79 degrees. Hope this helped!

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