Question

use the figure shown.
what is y?
y =

Explanation:

Step1: Find the value of \(x\)

The sum of angles in a triangle is \(180^{\circ}\). So \(x = 54 + 82\) (exterior angle property of a triangle: 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 (\(x + y=180^{\circ}\) as they form a linear pair).

$$y = 180 - x$$

Substitute \(x = 136\) into the equation:

$$y=180 - 136$$

$$y = 44$$

Answer:

\(44\)