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ABCD is a parallelogram in which the bisector of angle A meets BC at E.
If angle A = 70°, show angle AEB equals angle EAB and find angle AEB (in degrees).

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • A35
  • B39
  • C70
  • D31

Step-by-Step Solution

AD || BC, transversal AE gives angle DAE = angle AEB (alternate). The bisector makes angle DAE = angle EAB = 35°, so angle AEB = 35°.
Answer: A) 35

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