Question

triangles
triangle xyz is isosceles. angle y measures a
what expression represents the measure of angle x?
2a
180 - 2a
90 - a
\frac{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 angles in a triangle is \(180^{\circ}\). Let \(\angle X=x\). Then \(x + a+a=180\)

$$x=180 - 2a$$

Answer:

\(180 - 2a\)