Question

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

Explanation:

Step1: Find the value of \(x\)

The sum of interior angles of a triangle is \(180^{\circ}\). So \(x = 54 + 82\) (exterior angle theorem: an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles).
\(x=136\)

Step2: Find the value of \(y\)

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

Answer:

\(44\)