Question

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

Answer 1

<EAB = 180 - 90 - (0.5*<ADC)

Answer 2

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