Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
5. Measuring and Constructing Angles
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Exercise 23 Page 44

∠ RST is the angle created by the two rays SR and ST.

42^(∘)

Practice makes perfect

The equation m∠ RST=114^(∘) tells us that the angle between the two rays, SR and ST, is 114^(∘). Similarly, ∠ RSV is the angle between rays SR and ST. Let's mark these three angles in two different figures.

From the figures, we can see that the sum of ∠ RSV and 72^(∘) is 114^(∘). ∠ RSV+72^(∘)=114^(∘) Let's solve the equation to find ∠ RSV.
∠ RSV+72^(∘)=114^(∘)
∠ RSV=42^(∘)