Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Constructing Polygons
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Exercise 3 Page 382

A triangle can be formed when the sum of the three angle measures is equal to 180^(∘).

Not possible.

Practice makes perfect
We want to determine whether we can draw a triangle with angle measures of 60^(∘), 60^(∘), and 80^(∘). 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^(∘).

60^(∘) + 60^(∘) + 80^(∘) ? = 180^(∘) [0.5em] ⇓ [0.5em] 200^(∘) ≠ 180^(∘) The sum of the angle measures is not equal to 180^(∘). This means that we cannot construct our triangle.