Let's say that the shorter piece is x and the longer piece is 5x (because it's 5 times as long). x+5x=72 and 6x=72. Dividing both sides by 6, we get that x=12, and 72-12=the length of the other piece (since there are only 2 pieces)=60
x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
