Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

g i j 30° 50° h k l not similar or not necessarily similar similar: △jk…

Question

g i j 30° 50° h k l not similar or not necessarily similar similar: △jkl ~ △ by the select

Explanation:

Step1: Analyze Triangle GIH

Triangle \( GIH \) is a right triangle (right - angled at \( I \)) with one angle \( \angle G = 30^{\circ} \). So the third angle \( \angle H=180^{\circ}- 90^{\circ}-30^{\circ}=60^{\circ} \).

Step2: Analyze Triangle JKL

Triangle \( JKL \) is a right triangle (right - angled at \( K \)) with one angle \( \angle J = 50^{\circ} \). So the third angle \( \angle L=180^{\circ}-90^{\circ}-50^{\circ} = 40^{\circ} \).

Step3: Compare Angles for Similarity

For two triangles to be similar, their corresponding angles must be equal. In \( \triangle GIH \), the angles are \( 30^{\circ},60^{\circ},90^{\circ} \). In \( \triangle JKL \), the angles are \( 50^{\circ},40^{\circ},90^{\circ} \). Since the sets of angles are not the same, the triangles are not similar or not necessarily similar.

Answer:

Not similar or not necessarily similar