Question

7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values of x, y, and z.

Answer 1

regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108

180 - 108 = 72
y = 72/2 = 36

z = 180 - 90 - 36
z = 54

answer
x = 108, y = 36 and z = 54