Answer:
10 Hexagonal pieces, 20 Rectangular pieces and 50 Triangular pieces.
Step-by-step explanation:
First let's check how many pieces Missy uses to make one bug design:
1 hexagonal + 2 rectangular + 5 triangular = 8 total pieces.
Is the uses 80 pieces in total, she made a total of 80/8 = 10 bug designs
So now we can calculate how many pieces of each shape she uses just multiplying the amount of bug designs (10) by the number of pieces of each shape:
Hexagonal pieces: 1 * 10 = 10 pieces
Rectangular pieces: 2 * 10 = 20 pieces
Triangular pieces: 5 * 10 = 50 pieces