Respuesta :

fieryanswererft

Answer:

∠ABD = 38°

Step-by-step explanation:

first find,

∠BDE = 180° - DEB° - DBE° ...........∠DEB is parallel to ∠DBE so both have 71° angle.

        = 180° - 71° - 71°

        = 38°

  • we can see ∠BDE is similar to ∠ABD. same angles with 38°
mhanifa

Answer:

  • 71°

Step-by-step explanation:

ABD is the tangent chord angle, which is the half the measure of the intercepted arc:

  • m∠ABD = 1/2mBD

On the other hand, the same arc BD is intercepted by the inscribed angle, which is the half of the intercepted arc measure:

  • m∠DEB = 1/2mBD

Since m∠DEB = 71°, the angle ABD is of same size:

  • m∠ABD = 71°

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