IKMC 2027 - Grades 7-8 - Self-study SET 13 - Thematic Batch 3 Question 19

Question 19

ABC is equilateral. Choose D so that B is the midpoint of AD. Choose E in the plane with DE = AB and with CE as large as possible. What is $\angle BED$?

Question illustration

$45^\circ$
$30^\circ$
$20^\circ$
$15^\circ$
$10^\circ$