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part 1 of 2 find the measures of the labeled angles 3x° (88 - x)° 3x° =…

Question

part 1 of 2
find the measures of the labeled angles
3x° (88 - x)°
3x° =
(type a whole number)

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $3x=(88 - x)$.

Step2: Solve the equation for $x$

Add $x$ to both sides: $3x+x = 88 - x+x$, which simplifies to $4x=88$. Then divide both sides by 4: $x=\frac{88}{4}=22$.

Step3: Find the value of $3x$

Substitute $x = 22$ into $3x$. So, $3x=3\times22 = 66$.

Answer:

$66$