Algebraic Equation: x+(x-6)=90 Measures of the Angles: 42^(∘) and 48^(∘)
Practice makes perfect
Let's call the unknown angles ∠ A and ∠ B. We know that ∠ A and ∠ B are complementary and, therefore, the sum of their measures is 90^(∘).
m∠ A + m∠ B = 90^(∘)
We are told that the measure of one angle is 6^(∘) less than its complement. Assume that ∠ A is the greater angle and let's call its measure x. Then we have the following expressions for the measures of the unknown angles.
m∠ A =& x
m∠ B =& x- 6
Substituting these values into the sum gives us the desired algebraic equation.
m∠ A + m∠ B&= 90
x + (x-6) &= 90
Now we can solve for x and find the measures of the angles.
