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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

8. Coordinate Proofs

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Exercise 28 Page 644

What does it mean that an angle is bisected?

x^(∘) = 8^(∘)

Practice makes perfect

We know that YW bisects ∠ XYZ. This means that YW cuts our angle into two congruent smaller angles. Let's illustrate this.

Since these angles are congruent, we can equate their angle measures 3 x^(∘) - 7^(∘) = 2 x^(∘) + 1^(∘). Now we can solve for x

3 x^(∘) - 7^(∘) = 2 x^(∘) + 1^(∘)

LHS-2 x^(∘)=RHS-2 x^(∘)

x^(∘) - 7^(∘) = 1^(∘)

LHS+7^(∘)=RHS+7^(∘)

x^(∘) = 8^(∘)

As we can see, x^(∘) = 8^(∘).

Subchapter links

Communicate Your Answer p.639

Monitoring Progress p.640-642

Exercises p.643-644