Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
5. Proving Statements about Segments and Angles
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Exercise 25 Page 104

Two angles are supplementary if the sum of their measures is 180^(∘).

m∠ 3=33^(∘)

Practice makes perfect
Two angles are supplementary if the sum of their measures is 180^(∘). Since we are told that ∠3 is a supplement of ∠2, we can create an equation to demonstrate this relationship. m∠ 3 + m∠ 2= 180^(∘) We can find m∠ 3 by substituting the given value, m∠2=147^(∘), into the equation.
m∠ 3 + m∠ 2= 180^(∘)
m∠ 3 + 147^(∘) = 180^(∘)
m∠ 3= 33^(∘)
The measure of m∠ 3 is 33^(∘).