Question

a right triangle with angle measures of 30°, 60°, and 90° is reflected across line l in order to create a new triangle as shown. what is the measure of the angle marked a’ in the reflected triangle? the measure of angle a’ is \boxed{}°.

Explanation:

Step1: Recall reflection property

Reflection is a rigid transformation, which means it preserves the shape and size of the figure, including the measures of angles.

Step2: Identify corresponding angle

In the original triangle, angle at \( A \) is \( 60^\circ \). When the triangle is reflected across line \( l \), angle \( A' \) is the corresponding angle to angle \( A \). So, the measure of angle \( A' \) is equal to the measure of angle \( A \).

Answer:

\( 60 \)