Question

if these two figures are similar, what is the measure of the missing angle? 31° 118° 31° ?

Explanation:

Step1: Recall similar figures property

Similar figures have corresponding angles equal. So the triangles have the same angle measures.

Step2: Identify the missing angle's corresponding angle

In the first triangle, the angles are \(31^\circ\), \(118^\circ\), and \(31^\circ\). The missing angle in the second triangle corresponds to the \(118^\circ\) angle in the first triangle (since the other two angles are \(31^\circ\) and the triangle's angle sum is consistent, and similarity preserves angle measures).

Answer:

\(118\)