McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Practice Test
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Exercise 1 Page 397

Look for special angle pairs.

55^(∘)

Let's label the given angles and identify which one can be helpful in finding the measure of ∠ 1.

Angles ∠ 1 and ∠ 6 form a linear pair, so their measures add to 180^(∘). m∠ 1+m∠ 6=180^(∘) It is given that m∠ 6=125^(∘). We can substitute this in the equation above to find the measure of ∠ 1.
m∠ 1+m∠ 6=180
m∠ 1+ 125=180
m∠ 1=55
On the figure the measure of angle ∠ 1 is m∠ 1=55^(∘).