Question

1. triangle xyz is an equilateral triangle. if the measure of its angles measure 60°. if the triangle is rotated 270° about the origin and then reflected over the y - axis, what will be the measure of ∠zxy?

Explanation:

Step1: Recall equilateral - triangle property

In an equilateral triangle, all angles are equal and sum to $180^{\circ}$. So each angle is $\frac{180^{\circ}}{3}=60^{\circ}$.

Step2: Note transformation properties

Rotations and reflections are rigid - motions. They preserve angle measures. So $\angle ZXY$ remains $60^{\circ}$.

Answer:

$60^{\circ}$