Question

triangie xyz is isosceles. angle y measures a^. what expression represents the measure of angle x? 2a 180 - 2a 90 - a a/2

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle \(XYZ\) with \(XY = XZ\), \(\angle Y=\angle Z = a^{\circ}\)

Step2: Use the angle - sum property of a triangle

The sum of interior angles of a triangle is \(180^{\circ}\). Let \(\angle X=x\). Then \(x + a+a=180\)

Step3: Solve for \(x\)

\(x=180 - 2a\)

Answer:

\(180 - 2a\)