A quadrilateral can be formed when the sum of the four given angle measures is equal to 360^(∘).
Not possible, see solution.
Practice makes perfect
We want to draw a polygon with angle measures of 20^(∘), 45^(∘), 50^(∘), and 65^(∘). 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^(∘).
20^(∘) + 45^(∘) + 50^(∘)+ 65^(∘) ? = 360^(∘)
[0.5em] ⇓ [0.5em]
180^(∘) ≠ 360^(∘)
The sum of the angle measures is 180^(∘). This means that we cannot construct the quadrilateral.
