Question

part 2 of 2
find the measures of the labeled angles.
3x° = 66° (type a whole number)
(108 - x)° = □° (type a whole number)

Explanation:

Step1: Set up the equation

Since the two angles $3x^{\circ}$ and $(108 - x)^{\circ}$ are vertical - angles, they are equal. So we set up the equation $3x=108 - x$.

Step2: Solve the equation for $x$

Add $x$ to both sides of the equation: $3x+x=108 - x+x$, which simplifies to $4x = 108$. Then divide both sides by 4: $x=\frac{108}{4}=27$.

Step3: Find the measure of $3x^{\circ}$

Substitute $x = 27$ into $3x$. So $3x=3\times27 = 81$.

Step4: Find the measure of $(108 - x)^{\circ}$

Substitute $x = 27$ into $108 - x$. So $108 - x=108 - 27=81$.

Answer:

$3x^{\circ}=81^{\circ}$
$(108 - x)^{\circ}=81^{\circ}$