Question

Please help, thank you

Answer 1

∠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°

Answer 2

• 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°