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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Describing Pairs of Angles

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Exercise 26 Page 429

The sum of the measures of supplementary angles is 180^(∘).

156^(∘)

Practice makes perfect

The sum of the measures of supplementary angles is 180^(∘). Therefore, when ∠ 2 is added to its supplement x, it will equal 180^(∘). m∠ 2+ x =180^(∘) Since we know m∠ 2, we can find the supplementary angle by substituting this value into our equation.

m∠ 2+x=180^(∘)

m∠ 2= 24^(∘)

24^(∘)+x=180^(∘)

LHS-24^(∘)=RHS-24^(∘)

x=156^(∘)

Subchapter links

Communicate Your Answer p.423

Monitoring Progress p.425-427

Exercises p.428-430