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34 votes
Please help, thank you

Please help, thank you-example-1
User LinShiwei
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3.2k points

2 Answers

18 votes
18 votes

Answer:

ABD = 38°

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°
User Roy Milder
by
2.7k points
15 votes
15 votes

Answer:

  • 71°

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°
User Jeremy Kahan
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2.8k points