2. Complementary and Supplementary Angles
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What is the sum of the measures of two complementary angles?
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We know the measures of two complementary angles. The measure of ∠E is (x - 10)^(∘) and the measure of ∠F is (x + 2)^(∘).
Since the angles E and F are complementary, we know that the sum of their measures should equal 90^(∘). We can solve for x by creating an equation using the expressions for the two smaller angles and their sum.
Remove parentheses
Commutative Property of Addition
Add terms
LHS+8=RHS+8
.LHS /2.=.RHS /2.
Calculate quotient