Question

for items 7 - 9, use the figure shown. what is the value of y? y =

Explanation:

Step1: Find the third - angle of the triangle

The sum of interior angles of a triangle is 180°. Let the third - angle of the triangle be $a$. So, $a=180-(82 + 54)=180 - 136=44^{\circ}$.

Step2: Use the property of vertical angles

Angle $x$ and the third - angle of the triangle are vertical angles, so $x = 44^{\circ}$.

Step3: Use the property of supplementary angles

Since $x$ and $y$ are supplementary angles (a linear pair), $x + y=180^{\circ}$. Substitute $x = 44^{\circ}$ into the equation: $y=180 - x$. Then $y = 180-44 = 136^{\circ}$.

Answer:

$136$