Question

select the reason why these triangles are similar. if they are not, select
ot similar.\ image of two triangles, one yellow with angles 41° and 30°, one orange with angles 30° and 109° options: sss, aa, not similar, sas

Explanation:

Step1: Calculate the third angle of the yellow triangle

The sum of angles in a triangle is \(180^\circ\). For the yellow triangle with angles \(41^\circ\) and \(30^\circ\), the third angle is \(180 - 41 - 30 = 109^\circ\).

Step2: Compare angles of both triangles

The yellow triangle has angles \(41^\circ\), \(30^\circ\), \(109^\circ\) and the orange triangle has angles \(30^\circ\), \(109^\circ\), and the third angle (calculated as \(180 - 30 - 109 = 41^\circ\)). So, two angles of the yellow triangle match two angles of the orange triangle. 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:

AA