Question

1. are the triangles similar? a) yes b) no

Explanation:

Step1: Find angle A in triangle ABC

In triangle ABC, since one angle is 90° and another is 35°, using the angle - sum property of a triangle ($\angle A+\angle B+\angle C = 180^{\circ}$), we have $\angle A=180^{\circ}-90^{\circ}-35^{\circ}=55^{\circ}$.

Step2: Compare angles of two triangles

In triangle ABC, $\angle A = 55^{\circ}$, $\angle C=90^{\circ}$, $\angle B = 35^{\circ}$. In triangle DEF, $\angle D = 55^{\circ}$, $\angle F=90^{\circ}$, $\angle E=180^{\circ}-90^{\circ}-55^{\circ}=35^{\circ}$. The corresponding angles of the two triangles are equal.

Answer:

a) Yes