VTMO 2026 - Grade 7 - Semifinal - SET 5 - Self-study Question 20

Question 20

In the five-pointed star shown, the five interior angles of the central pentagon $FGHIJ$ are five consecutive integers in degrees. What is the largest possible value of one of the five tip angles $A,B,C,D,E$ of the star?

Question illustration

$37^\circ$
$38^\circ$
$39^\circ$
$40^\circ$
$41^\circ$