Question

Question one 1: ABCDE is regular Pentagon find the measure of angle AEB?

Answer 1

36°

Explanation:

#1). 180°(n - 2) / n

The measure of the interior angle of regular pentagon is

180° ( 5 - 2) / 5 = 108°

ΔAEB is isosceles ⇒ ∠AEB ≅ ∠ABE

m∠AEB = (180° - 108°) / 2 = 36°

#2). Yes. lines are parallel.