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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 25 Page 429

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

122^(∘)

Practice makes perfect

The sum of the measures of supplementary angles is 180^(∘). Therefore, when ∠ 1 is added to its supplement x, it will equal 180^(∘). m∠ 1+ x =180^(∘) Since we know m∠ 1, we can find the supplementary angle by substituting this value into our equation.

m∠ 1+x=180^(∘)

m∠ 1= 58^(∘)

58^(∘)+x=180^(∘)

LHS-58^(∘)=RHS-58^(∘)

x=122^(∘)

Subchapter links

Communicate Your Answer p.423

Monitoring Progress p.425-427

Exercises p.428-430