Question

problem 20: (first taught in lesson 31) find x and y. after you enter your answer press go. x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $x = 128$ since the angle marked $128^{\circ}$ and $x$ are vertical angles.

Step2: Apply triangle - angle sum property

The sum of interior angles of a triangle is $180^{\circ}$. In the triangle, we have $y+83 + x=180$. Substitute $x = 128$ into the equation: $y+83 + 128=180$. Then $y+211 = 180$, and $y=180 - 128 - 83=45$.

Answer:

$x = 128$, $y = 45$