Question

i can similarity true or false: these triangles are similar. a true b false 15 a b c d

Explanation:

Step1: Calculate the third angle of \(\triangle PQR\)

The sum of angles in a triangle is \(180^{\circ}\). For \(\triangle PQR\), if \(\angle R = 86^{\circ}\) and \(\angle Q=57^{\circ}\), then \(\angle P=180^{\circ}-(86^{\circ} + 57^{\circ})=37^{\circ}\).

Step2: Check the angle - angle similarity criterion

In \(\triangle PQR\) and \(\triangle STU\), \(\angle R=\angle S = 86^{\circ}\) and \(\angle P=\angle U = 37^{\circ}\). By the AA (angle - angle) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Answer:

A. True