Question

given triangle xyz, what is a?

Explanation:

Step1: Use the property of adjacent angles on a straight line

The sum of adjacent angles on a straight line is \(180^{\circ}\). In the given triangle, the angle of \(75^{\circ}\) and \(a^{\circ}\) are adjacent angles on a straight line.

Step2: Set up the equation

We can set up the equation \(a + 75=180\).

Step3: Solve for \(a\)

Subtract \(75\) from both sides of the equation: \(a=180 - 75\).

Answer:

\(105\)