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problem 19: find y. after you enter your answer press go. y =

Question

problem 19: find y. after you enter your answer press go. y =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle opposite to the $65^{\circ}$ angle is also $65^{\circ}$.

Step2: Use angle - sum property of a straight - line

A straight - line has an angle measure of $180^{\circ}$. If we consider the straight - line containing the angle $y$ and the $65^{\circ}$ angle, we have $y + 65^{\circ}=180^{\circ}$.

Step3: Solve for $y$

Subtract $65^{\circ}$ from both sides of the equation: $y=180^{\circ}-65^{\circ}$.
$y = 115^{\circ}$

Answer:

$115$