Exercise 32 Page 388

We want to draw a polygon with angle measures of 50^(∘), 60^(∘), 110^(∘), and 150^(∘). We can recall that a quadrilateral can be formed when the sum of the angle measures is equal to 360^(∘). Let's check whether the four angle measures add up to 360^(∘).

50^(∘) + 60^(∘) + 110^(∘)+ 150^(∘) ? = 360^(∘) [0.5em] ⇓ [0.5em] 370^(∘) ≠ 360^(∘) The sum of the angle measures is 370^(∘). This means that we cannot construct the quadrilateral.