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 24 Page 104

Two angles are complementary if the sum of their measures is 90^(∘).

m∠ 4=57^(∘)

Practice makes perfect
Two angles are complementary if the sum of their measures is 90^(∘). Since we are told that ∠1 is a complement of ∠4, we can create an equation to demonstrate this relationship. m∠ 1 + m∠ 4= 90^(∘) We can find m∠ 4 by substituting the given value, m∠ 1=33^(∘), into the equation.
m∠ 1 + m∠ 4= 90^(∘)
33^(∘) + m∠ 4= 90^(∘)
m∠ 4= 57^(∘)
The measure of m∠ 4 is 57^(∘).