Answer:
The correct option is A.
A) m, because ΔABC ~ ΔEDC
Step-by-step explanation:
Consider the both triangles.
<B = 60°
<D = 60°
<B and <D are congruent
<ACB = 90°
<DCE = 90°
<ACB and < DCE are also congruent.
As sum of the angles of triangle is 180°
<A = 180° - <ACB - <B
<A = 180° - 90° - 60
<A = 30° = m
<E = 180° - <DCE - <D
<E = 180° - 90° - 60°
<E = 30°
As m = 30°
<E = <CED = m
As segment AD cuts segment BE, which results in formation of two triangle, and as all angles of both triangles are equal, both triangles are similar.
