Question

find the value of each variable and the measure of each angle. x = 29 y = 58 2x° = y° = (x + y + 35)° = remaining angle =

Explanation:

Step1: Find the value of $2x$

Since $y = 58$ and $2x$ and $y$ are vertical - angles, vertical angles are equal. So $2x=y = 58$.

Step2: Confirm the value of $y$

$y$ is given as $58$.

Step3: Calculate $x + y + 35$

Substitute $x = 29$ and $y = 58$ into $x + y+35$. First, since $2x = 58$, then $x=\frac{58}{2}=29$. Then $x + y+35=29 + 58+35=122$.

Answer:

$2x = 58$
$y = 58$
$x + y+35=29 + 58+35 = 122$