Question

find the measures of the labeled angles. (x + 100)° 6x° (x + 100)° = □° (type a whole number)

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $6x=(x + 100)$.

Step2: Solve the equation for $x$

Subtract $x$ from both sides: $6x−x=x + 100−x$. This gives $5x = 100$. Then divide both sides by 5: $x=\frac{100}{5}=20$.

Step3: Find the measure of $(x + 100)$

Substitute $x = 20$ into $(x + 100)$. So, $20+100 = 120$.

Answer:

$120$