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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

5. Measuring and Constructing Angles

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Exercise 24 Page 44

∠ LHK is the angle created by two rays HL and HK.

101^(∘)

Practice makes perfect

We are asked to find the measure of the angle created by two rays, HL and HK. To begin, we know that ∠ GHK is a straight angle which means it has a measure of 180^(∘). Let's mark the angle we are trying to find as well as our straight angle in two different figures.

From the figures, we can see that the sum of ∠ LHK and 79^(∘) equals 180^(∘). ∠ LHK+79^(∘)=180^(∘) Let's solve the equation to find ∠ LHK.

∠ LHK+79^(∘)=180^(∘)

LHS-79^(∘)=RHS-79^(∘)

∠ LHK=101^(∘)

Subchapter links

Communicate Your Answer p.37

Monitoring Progress p.38-42

Exercises p.43-46