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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 47 Page 430

Use that ∠ LJM is complementary to both angles.

Yes we can, see solution.

Practice makes perfect

Let's start by noting that we have two pairs of complementary angles. &m∠ KJL + m∠ LJM=90^(∘) &m∠ LJM + m∠ MJN=90^(∘) Because they have the same measure, we can equate them and solve.

m∠ KJL + m∠ LJM=m∠ LJM + m∠ MJN

LHS-m∠ LJM=RHS-m∠ LJM

m∠ KJL = m∠ MJN

We see that m∠ KJL and m∠ MJN have the same measure. Therefore, they must also be congruent.

Subchapter links

Communicate Your Answer p.423

Monitoring Progress p.425-427

Exercises p.428-430