Angle ABC is a straight angle. m∠DBC = 130° and BE bisects ∠ABD. What is mEBA?

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

7 0

Answer:

= 25 , simple answer

504Erick

3 years ago

thank you

seraphim [82]3 years ago

5 0

The answer:

we observe that m∠DBC = 130°

we should find the value of mEDB to answer this question
Angle ABC is a straight angle, so m ABC= 180°, but
mABD + m∠DBC = 180° (look at the figure)

so mABD= 180° - m∠DBC = 180 - 130 = 50°

therefore, mABD= 50°,
and BE bisects ∠ABD imiplies mEBA = mEDB, and mABD= mEBA + mEDB= 50°, it does mean 2x mEBA = 50°

and from where mEBA = 50°/2=25°

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EastWind [94]

Answer:

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