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Ac and bd are perpendicular bisectors of each other. adc. Find eab

Ac and bd are perpendicular bisectors of each other. adc. Find eab-example-1

2 Answers

2 votes
<EAB = 180 - 90 - (0.5*<ADC)
User Jan Klimo
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Let ∠ ADC = 2β

Ac and BD are perpendicular bisectors of each other ⇒⇒ (Given information)

∴ BD bisects the angle ADC
∴ ∠ADE = 0.5 ∠ADC = β

And in ΔADE:
∵∠DEA = 90° ⇒⇒⇒ from the given information
∴∠DAE = 90° - β

And AC bisects ∠DAB
⇒⇒⇒ from the given information
∴∠EAB = ∠DAE = 90° - β

User Evan LaHurd
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9.4k points