Answer:
m∠1 = 60°
m∠2 = 30°
m∠3 = 60°
Explanation:
The longer diagonals of the regular hexagon divide it into six congruent equilateral triangles.
The angles in an equilateral triangle are congruent. Their measures of them are equal to 60°.
Therefore m∠ 1 = m∠3 = 60°.
The given apothem is a bisector of the angle.
Therefore m∠2 = 60° : 2 = 30°.