Shannon is designing a new rectangular flag for the school’s color guard and is determining the angles at which to cut the fabric. She wants the measure of ∠2 to be three times as great as the measure of ∠1. She thinks the measures of ∠3 and ∠4 should be equal. Finally, she wants the measure of ∠6 to be half that of ∠5. Determine the measures of the angles.