Question

Question #7e8bb

Answer 1

Angle A also measures `50^o` and the side proportional to DF is AW.

Explanation:

Similar triangles have equal angles and proportional sides. In a similar trianglestatement, the order of the vertices indicates corresponding angles and sides.

In this example, triangle DEF is similiar to triangle ACW.

This similarity statement indicates the following:

`/_D~=/_Acolor(white)(aaa)/_E~=/_Ccolor(white)(aaa)/_F~=/_W`

`bar(DE)propbar(AC)color(white)(aaa)bar(EF)propbar(CW)color(white)(aaa)bar(DF)propbar(AW)`

So, if `m/_D=50^o` then `m/_A=50^o`.

And, side `bar(DF)prop` side `bar(AW)`