QuestionAre triangles $\triangle ABC$ and $\triangle DEF$ similar given $\angle A=30^{\circ}$, $\angle D=30^{\circ}$, $\angle F=38^{\circ}$? Justify.

Studdy Solution
Now we can see that the sum of angles B and C in Triangle ABC is150 degrees, and the measure of angle in Triangle DEF is112 degrees. Since these are not equal, the triangles are not similar by AA similarity.
The correct answer is (d) No, the triangles are not proportional.