2. Complementary and Supplementary Angles
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What is the sum of the measures of two complementary angles?
16
We know the measures of two complementary angles. The measure of ∠C is (4x)^(∘) and the measure of ∠D is 26^(∘).
Since the angles C and D 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.
LHS-26=RHS-26
.LHS /4.=.RHS /4.
Calculate quotient