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problem 18: find x and y. (first taught in lesson 30) after you enter y…

Question

problem 18: find x and y. (first taught in lesson 30) after you enter your answer press go. x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $x = 130$ since the angle opposite to the $130^{\circ}$ angle is $x^{\circ}$.

Step2: Use triangle - angle sum property

The sum of angles in a triangle is $180^{\circ}$. In the triangle, we have $70 + y+x_{triangle}=180$. Since $x_{triangle}$ and $x$ are vertical angles, $x_{triangle}=130$. Then $70 + y+130 = 180$, $y=180-(70 + 130)=60$.

Answer:

$x = 130$, $y = 60$