Answer:
Two of the angles are 108° and the other two angles are 72°.
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180°.
Let the smaller angle be 2x and the larger angle be 3x.
Smaller angle + Larger angle = 180°
2x + 3x = 180°
5x = 180°
Smaller angle (2x) = [tex]\frac{2}{5}[/tex] × 180°
= 72°
Bigger angle (3x) = [tex]\frac{3}{5}[/tex] × 180°
= 108°
Angles directly opposite each other are equal so you know there are two smaller angles of 72° and two bigger angles of 108°.
