Question

if the following shapes are similar, what is the measure of angle x?

• 2x=-76

\frac{4}{x}=\frac{2}{19}

Explanation:

Step1: Recall property of similar shapes

Similar - shaped polygons have congruent corresponding angles.

Step2: Identify corresponding angle

The angle \(x\) in the larger shape corresponds to the \(39^{\circ}\) angle in the smaller shape.

Answer:

\(39^{\circ}\)