A triangle can be formed when the sum of the three angle measures is equal to 180^(∘).
Not possible, see solution.
Practice makes perfect
We want to determine whether we can draw a triangle with angle measures of 38^(∘), 42^(∘), and 110^(∘). We can recall that a triangle can be formed when the sum of the angle measures is equal to 180^(∘). Let's check whether the three angle measures add up to 180^(∘).
38^(∘) + 42^(∘) + 110^(∘) ? = 180^(∘)
[0.5em] ⇓ [0.5em]
190^(∘) ≠ 180^(∘)
The sum of the angle measures is not equal to 180^(∘). This means that we cannot construct our triangle.
