Question

find the measures of the labeled angles. x° (type a whole number.) 180 - x° = (type a whole number.)

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. If two lines intersect, the angles opposite each other are equal. So, $3x=(180 - x)$.

Step2: Solve the equation for $x$

Add $x$ to both sides of the equation $3x = 180 - x$. We get $3x+x=180$, which simplifies to $4x = 180$. Then divide both sides by 4: $x=\frac{180}{4}=45$.

Step3: Find the value of $3x$

Substitute $x = 45$ into $3x$. So, $3x=3\times45 = 135$.

Step4: Find the value of $180 - x$

Substitute $x = 45$ into $180 - x$. So, $180 - x=180 - 45=135$.

Answer:

$3x = 135$
$180 - x=135$