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Big Ideas Math Integrated I, 2016 View details

2. Parallel Lines and Transversals

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Exercise 4 Page 506

Note that the rays are parallel.

m∠ 1=41^(∘)

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The red line can be viewed as a transversal cutting the lines representing the light.

Since the rays representing the light are parallel, ∠ 1 and ∠ 2 can be classified as alternate interior angles. By the Alternate Interior Angles Theorem, we know that ∠1≅ ∠2. Thus, we know they are equal. m∠2=m∠ 1=41^(∘)