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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=

Verified Answer :

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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