Question

find the value of each variable. 17. (2x + 25)° y° (3x - 10)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $2x + 25=3x - 10$.

Step2: Solve for $x$

Subtract $2x$ from both sides: $25=x - 10$. Then add 10 to both sides, we get $x = 35$.

Step3: Find the value of $y$

The sum of adjacent angles on a straight - line is $180^{\circ}$. So, $y+(2x + 25)=180$. Substitute $x = 35$ into $2x+25$, we have $2\times35 + 25=70 + 25=95$. Then $y=180-(2x + 25)=180 - 95 = 85$.

Answer:

$x = 35$, $y = 85$